Study of the generalization of regularized long-wave equation

Abstract A generalization of the regularized long-wave equation is considered, and the existences of smooth soliton, peakon, and periodic solutions are established via the complete discrimination system for polynomial method and the bifurcation method. Concrete examples of these solutions are constr...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Kai, Yue [verfasserIn] Ji, Jialiang Yin, Zhixiang

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2022

Schlagwörter:	Generalization of regularized long-wave equation Bifurcation method Gaussian soliton Extended trial equation method

Anmerkung:	© The Author(s), under exclusive licence to Springer Nature B.V. 2021

Übergeordnetes Werk:	Enthalten in: Nonlinear dynamics - Dordrecht [u.a.] : Springer Science + Business Media B.V, 1990, 107(2022), 3 vom: 20. Jan., Seite 2745-2752
Übergeordnetes Werk:	volume:107 ; year:2022 ; number:3 ; day:20 ; month:01 ; pages:2745-2752

Links:	Volltext

DOI / URN:	10.1007/s11071-021-07115-6

Katalog-ID:	SPR046233377

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520			\|a Abstract A generalization of the regularized long-wave equation is considered, and the existences of smooth soliton, peakon, and periodic solutions are established via the complete discrimination system for polynomial method and the bifurcation method. Concrete examples of these solutions are constructed to verify our conclusions directly. In particular, we construct a special kind of smooth soliton solution, namely a Gaussian soliton solution, and give two sufficient conditions for the existence of such a solution by the extended trial equation method. To the best of our knowledge, this is the first time that a Gaussian soliton solution has been constructed for an equation with no logarithmic nonlinearity.
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912			\|a GBV_ILN_230
912			\|a GBV_ILN_250
912			\|a GBV_ILN_281
912			\|a GBV_ILN_285
912			\|a GBV_ILN_293
912			\|a GBV_ILN_370
912			\|a GBV_ILN_602
912			\|a GBV_ILN_636
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912			\|a GBV_ILN_2034
912			\|a GBV_ILN_2037
912			\|a GBV_ILN_2038
912			\|a GBV_ILN_2039
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912			\|a GBV_ILN_2118
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912			\|a GBV_ILN_2522
912			\|a GBV_ILN_2548
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allfields	10.1007/s11071-021-07115-6 doi (DE-627)SPR046233377 (SPR)s11071-021-07115-6-e DE-627 ger DE-627 rakwb eng Kai, Yue verfasserin aut Study of the generalization of regularized long-wave equation 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2021 Abstract A generalization of the regularized long-wave equation is considered, and the existences of smooth soliton, peakon, and periodic solutions are established via the complete discrimination system for polynomial method and the bifurcation method. Concrete examples of these solutions are constructed to verify our conclusions directly. In particular, we construct a special kind of smooth soliton solution, namely a Gaussian soliton solution, and give two sufficient conditions for the existence of such a solution by the extended trial equation method. To the best of our knowledge, this is the first time that a Gaussian soliton solution has been constructed for an equation with no logarithmic nonlinearity. Generalization of regularized long-wave equation (dpeaa)DE-He213 Bifurcation method (dpeaa)DE-He213 Gaussian soliton (dpeaa)DE-He213 Extended trial equation method (dpeaa)DE-He213 Ji, Jialiang aut Yin, Zhixiang aut Enthalten in Nonlinear dynamics Dordrecht [u.a.] : Springer Science + Business Media B.V, 1990 107(2022), 3 vom: 20. Jan., Seite 2745-2752 (DE-627)315297034 (DE-600)2012600-1 1573-269X nnns volume:107 year:2022 number:3 day:20 month:01 pages:2745-2752 https://dx.doi.org/10.1007/s11071-021-07115-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 107 2022 3 20 01 2745-2752
spelling	10.1007/s11071-021-07115-6 doi (DE-627)SPR046233377 (SPR)s11071-021-07115-6-e DE-627 ger DE-627 rakwb eng Kai, Yue verfasserin aut Study of the generalization of regularized long-wave equation 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2021 Abstract A generalization of the regularized long-wave equation is considered, and the existences of smooth soliton, peakon, and periodic solutions are established via the complete discrimination system for polynomial method and the bifurcation method. Concrete examples of these solutions are constructed to verify our conclusions directly. In particular, we construct a special kind of smooth soliton solution, namely a Gaussian soliton solution, and give two sufficient conditions for the existence of such a solution by the extended trial equation method. To the best of our knowledge, this is the first time that a Gaussian soliton solution has been constructed for an equation with no logarithmic nonlinearity. Generalization of regularized long-wave equation (dpeaa)DE-He213 Bifurcation method (dpeaa)DE-He213 Gaussian soliton (dpeaa)DE-He213 Extended trial equation method (dpeaa)DE-He213 Ji, Jialiang aut Yin, Zhixiang aut Enthalten in Nonlinear dynamics Dordrecht [u.a.] : Springer Science + Business Media B.V, 1990 107(2022), 3 vom: 20. Jan., Seite 2745-2752 (DE-627)315297034 (DE-600)2012600-1 1573-269X nnns volume:107 year:2022 number:3 day:20 month:01 pages:2745-2752 https://dx.doi.org/10.1007/s11071-021-07115-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 107 2022 3 20 01 2745-2752
allfields_unstemmed	10.1007/s11071-021-07115-6 doi (DE-627)SPR046233377 (SPR)s11071-021-07115-6-e DE-627 ger DE-627 rakwb eng Kai, Yue verfasserin aut Study of the generalization of regularized long-wave equation 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2021 Abstract A generalization of the regularized long-wave equation is considered, and the existences of smooth soliton, peakon, and periodic solutions are established via the complete discrimination system for polynomial method and the bifurcation method. Concrete examples of these solutions are constructed to verify our conclusions directly. In particular, we construct a special kind of smooth soliton solution, namely a Gaussian soliton solution, and give two sufficient conditions for the existence of such a solution by the extended trial equation method. To the best of our knowledge, this is the first time that a Gaussian soliton solution has been constructed for an equation with no logarithmic nonlinearity. Generalization of regularized long-wave equation (dpeaa)DE-He213 Bifurcation method (dpeaa)DE-He213 Gaussian soliton (dpeaa)DE-He213 Extended trial equation method (dpeaa)DE-He213 Ji, Jialiang aut Yin, Zhixiang aut Enthalten in Nonlinear dynamics Dordrecht [u.a.] : Springer Science + Business Media B.V, 1990 107(2022), 3 vom: 20. Jan., Seite 2745-2752 (DE-627)315297034 (DE-600)2012600-1 1573-269X nnns volume:107 year:2022 number:3 day:20 month:01 pages:2745-2752 https://dx.doi.org/10.1007/s11071-021-07115-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 107 2022 3 20 01 2745-2752
allfieldsGer	10.1007/s11071-021-07115-6 doi (DE-627)SPR046233377 (SPR)s11071-021-07115-6-e DE-627 ger DE-627 rakwb eng Kai, Yue verfasserin aut Study of the generalization of regularized long-wave equation 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2021 Abstract A generalization of the regularized long-wave equation is considered, and the existences of smooth soliton, peakon, and periodic solutions are established via the complete discrimination system for polynomial method and the bifurcation method. Concrete examples of these solutions are constructed to verify our conclusions directly. In particular, we construct a special kind of smooth soliton solution, namely a Gaussian soliton solution, and give two sufficient conditions for the existence of such a solution by the extended trial equation method. To the best of our knowledge, this is the first time that a Gaussian soliton solution has been constructed for an equation with no logarithmic nonlinearity. Generalization of regularized long-wave equation (dpeaa)DE-He213 Bifurcation method (dpeaa)DE-He213 Gaussian soliton (dpeaa)DE-He213 Extended trial equation method (dpeaa)DE-He213 Ji, Jialiang aut Yin, Zhixiang aut Enthalten in Nonlinear dynamics Dordrecht [u.a.] : Springer Science + Business Media B.V, 1990 107(2022), 3 vom: 20. Jan., Seite 2745-2752 (DE-627)315297034 (DE-600)2012600-1 1573-269X nnns volume:107 year:2022 number:3 day:20 month:01 pages:2745-2752 https://dx.doi.org/10.1007/s11071-021-07115-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 107 2022 3 20 01 2745-2752
allfieldsSound	10.1007/s11071-021-07115-6 doi (DE-627)SPR046233377 (SPR)s11071-021-07115-6-e DE-627 ger DE-627 rakwb eng Kai, Yue verfasserin aut Study of the generalization of regularized long-wave equation 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2021 Abstract A generalization of the regularized long-wave equation is considered, and the existences of smooth soliton, peakon, and periodic solutions are established via the complete discrimination system for polynomial method and the bifurcation method. Concrete examples of these solutions are constructed to verify our conclusions directly. In particular, we construct a special kind of smooth soliton solution, namely a Gaussian soliton solution, and give two sufficient conditions for the existence of such a solution by the extended trial equation method. To the best of our knowledge, this is the first time that a Gaussian soliton solution has been constructed for an equation with no logarithmic nonlinearity. Generalization of regularized long-wave equation (dpeaa)DE-He213 Bifurcation method (dpeaa)DE-He213 Gaussian soliton (dpeaa)DE-He213 Extended trial equation method (dpeaa)DE-He213 Ji, Jialiang aut Yin, Zhixiang aut Enthalten in Nonlinear dynamics Dordrecht [u.a.] : Springer Science + Business Media B.V, 1990 107(2022), 3 vom: 20. Jan., Seite 2745-2752 (DE-627)315297034 (DE-600)2012600-1 1573-269X nnns volume:107 year:2022 number:3 day:20 month:01 pages:2745-2752 https://dx.doi.org/10.1007/s11071-021-07115-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 107 2022 3 20 01 2745-2752
language	English
source	Enthalten in Nonlinear dynamics 107(2022), 3 vom: 20. Jan., Seite 2745-2752 volume:107 year:2022 number:3 day:20 month:01 pages:2745-2752
sourceStr	Enthalten in Nonlinear dynamics 107(2022), 3 vom: 20. Jan., Seite 2745-2752 volume:107 year:2022 number:3 day:20 month:01 pages:2745-2752
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Generalization of regularized long-wave equation Bifurcation method Gaussian soliton Extended trial equation method
isfreeaccess_bool	false
container_title	Nonlinear dynamics
authorswithroles_txt_mv	Kai, Yue @@aut@@ Ji, Jialiang @@aut@@ Yin, Zhixiang @@aut@@
publishDateDaySort_date	2022-01-20T00:00:00Z
hierarchy_top_id	315297034
id	SPR046233377
language_de	englisch
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author	Kai, Yue
spellingShingle	Kai, Yue misc Generalization of regularized long-wave equation misc Bifurcation method misc Gaussian soliton misc Extended trial equation method Study of the generalization of regularized long-wave equation
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topic_title	Study of the generalization of regularized long-wave equation Generalization of regularized long-wave equation (dpeaa)DE-He213 Bifurcation method (dpeaa)DE-He213 Gaussian soliton (dpeaa)DE-He213 Extended trial equation method (dpeaa)DE-He213
topic	misc Generalization of regularized long-wave equation misc Bifurcation method misc Gaussian soliton misc Extended trial equation method
topic_unstemmed	misc Generalization of regularized long-wave equation misc Bifurcation method misc Gaussian soliton misc Extended trial equation method
topic_browse	misc Generalization of regularized long-wave equation misc Bifurcation method misc Gaussian soliton misc Extended trial equation method
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title	Study of the generalization of regularized long-wave equation
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title_full	Study of the generalization of regularized long-wave equation
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author_browse	Kai, Yue Ji, Jialiang Yin, Zhixiang
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author-letter	Kai, Yue
doi_str_mv	10.1007/s11071-021-07115-6
title_sort	study of the generalization of regularized long-wave equation
title_auth	Study of the generalization of regularized long-wave equation
abstract	Abstract A generalization of the regularized long-wave equation is considered, and the existences of smooth soliton, peakon, and periodic solutions are established via the complete discrimination system for polynomial method and the bifurcation method. Concrete examples of these solutions are constructed to verify our conclusions directly. In particular, we construct a special kind of smooth soliton solution, namely a Gaussian soliton solution, and give two sufficient conditions for the existence of such a solution by the extended trial equation method. To the best of our knowledge, this is the first time that a Gaussian soliton solution has been constructed for an equation with no logarithmic nonlinearity. © The Author(s), under exclusive licence to Springer Nature B.V. 2021
abstractGer	Abstract A generalization of the regularized long-wave equation is considered, and the existences of smooth soliton, peakon, and periodic solutions are established via the complete discrimination system for polynomial method and the bifurcation method. Concrete examples of these solutions are constructed to verify our conclusions directly. In particular, we construct a special kind of smooth soliton solution, namely a Gaussian soliton solution, and give two sufficient conditions for the existence of such a solution by the extended trial equation method. To the best of our knowledge, this is the first time that a Gaussian soliton solution has been constructed for an equation with no logarithmic nonlinearity. © The Author(s), under exclusive licence to Springer Nature B.V. 2021
abstract_unstemmed	Abstract A generalization of the regularized long-wave equation is considered, and the existences of smooth soliton, peakon, and periodic solutions are established via the complete discrimination system for polynomial method and the bifurcation method. Concrete examples of these solutions are constructed to verify our conclusions directly. In particular, we construct a special kind of smooth soliton solution, namely a Gaussian soliton solution, and give two sufficient conditions for the existence of such a solution by the extended trial equation method. To the best of our knowledge, this is the first time that a Gaussian soliton solution has been constructed for an equation with no logarithmic nonlinearity. © The Author(s), under exclusive licence to Springer Nature B.V. 2021
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title_short	Study of the generalization of regularized long-wave equation
url	https://dx.doi.org/10.1007/s11071-021-07115-6
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author2	Ji, Jialiang Yin, Zhixiang
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doi_str	10.1007/s11071-021-07115-6
up_date	2024-07-03T21:14:13.802Z
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fullrecord_marcxml	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">SPR046233377</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230507105900.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">220215s2022 xx \|\|\|\|\|o 00\| \|\|eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s11071-021-07115-6</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)SPR046233377</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(SPR)s11071-021-07115-6-e</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Kai, Yue</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Study of the generalization of regularized long-wave equation</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2022</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© The Author(s), under exclusive licence to Springer Nature B.V. 2021</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract A generalization of the regularized long-wave equation is considered, and the existences of smooth soliton, peakon, and periodic solutions are established via the complete discrimination system for polynomial method and the bifurcation method. Concrete examples of these solutions are constructed to verify our conclusions directly. In particular, we construct a special kind of smooth soliton solution, namely a Gaussian soliton solution, and give two sufficient conditions for the existence of such a solution by the extended trial equation method. 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Study of the generalization of regularized long-wave equation

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