High-order rogue waves of the generalized (3+1)-dimensional nonlinear wave in liquid with gas bubbles

Abstract We derive the general high-order rogue waves for the generalized (3+1)-dimensional nonlinear wave equation, which can be directed from a liquid containing gas bubbles. Based on the KP reduction method, the dynamical behaviors of these fundamental rogue waves, including line rogue waves and...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Liu, Wenhao [verfasserIn] Zhang, Yufeng Zhang, Hongyi

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2020

Anmerkung:	© Società Italiana di Fisica (SIF) and Springer-Verlag GmbH Germany, part of Springer Nature 2020

Übergeordnetes Werk:	Enthalten in: The European physical journal - Berlin : Springer, 2011, 135(2020), 2 vom: 28. Jan.
Übergeordnetes Werk:	volume:135 ; year:2020 ; number:2 ; day:28 ; month:01

Links:	Volltext

DOI / URN:	10.1140/epjp/s13360-020-00159-4

Katalog-ID:	SPR031484794

Internformat


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520			\|a Abstract We derive the general high-order rogue waves for the generalized (3+1)-dimensional nonlinear wave equation, which can be directed from a liquid containing gas bubbles. Based on the KP reduction method, the dynamical behaviors of these fundamental rogue waves, including line rogue waves and general first-order rogue waves, are given in different planes. In addition, the second-order rogue waves are also discussed. They consist of two interacting line waves and arise from the constant background, and then, they disappear into the constant background finally. Furthermore, the third-order rogue waves are shown in the (x, y) plane, which have different patterns with different values of parameters. Besides, we find that the third-order rogue waves are composed of three line waves interacting in the (x, t) plane.
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allfields	10.1140/epjp/s13360-020-00159-4 doi (DE-627)SPR031484794 (SPR)s13360-020-00159-4-e DE-627 ger DE-627 rakwb eng Liu, Wenhao verfasserin aut High-order rogue waves of the generalized (3+1)-dimensional nonlinear wave in liquid with gas bubbles 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Società Italiana di Fisica (SIF) and Springer-Verlag GmbH Germany, part of Springer Nature 2020 Abstract We derive the general high-order rogue waves for the generalized (3+1)-dimensional nonlinear wave equation, which can be directed from a liquid containing gas bubbles. Based on the KP reduction method, the dynamical behaviors of these fundamental rogue waves, including line rogue waves and general first-order rogue waves, are given in different planes. In addition, the second-order rogue waves are also discussed. They consist of two interacting line waves and arise from the constant background, and then, they disappear into the constant background finally. Furthermore, the third-order rogue waves are shown in the (x, y) plane, which have different patterns with different values of parameters. Besides, we find that the third-order rogue waves are composed of three line waves interacting in the (x, t) plane. Zhang, Yufeng aut Zhang, Hongyi aut Enthalten in The European physical journal Berlin : Springer, 2011 135(2020), 2 vom: 28. Jan. (DE-627)647653958 (DE-600)2595693-0 2190-5444 nnns volume:135 year:2020 number:2 day:28 month:01 https://dx.doi.org/10.1140/epjp/s13360-020-00159-4 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_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 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 135 2020 2 28 01
spelling	10.1140/epjp/s13360-020-00159-4 doi (DE-627)SPR031484794 (SPR)s13360-020-00159-4-e DE-627 ger DE-627 rakwb eng Liu, Wenhao verfasserin aut High-order rogue waves of the generalized (3+1)-dimensional nonlinear wave in liquid with gas bubbles 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Società Italiana di Fisica (SIF) and Springer-Verlag GmbH Germany, part of Springer Nature 2020 Abstract We derive the general high-order rogue waves for the generalized (3+1)-dimensional nonlinear wave equation, which can be directed from a liquid containing gas bubbles. Based on the KP reduction method, the dynamical behaviors of these fundamental rogue waves, including line rogue waves and general first-order rogue waves, are given in different planes. In addition, the second-order rogue waves are also discussed. They consist of two interacting line waves and arise from the constant background, and then, they disappear into the constant background finally. Furthermore, the third-order rogue waves are shown in the (x, y) plane, which have different patterns with different values of parameters. Besides, we find that the third-order rogue waves are composed of three line waves interacting in the (x, t) plane. Zhang, Yufeng aut Zhang, Hongyi aut Enthalten in The European physical journal Berlin : Springer, 2011 135(2020), 2 vom: 28. Jan. (DE-627)647653958 (DE-600)2595693-0 2190-5444 nnns volume:135 year:2020 number:2 day:28 month:01 https://dx.doi.org/10.1140/epjp/s13360-020-00159-4 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_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 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 135 2020 2 28 01
allfields_unstemmed	10.1140/epjp/s13360-020-00159-4 doi (DE-627)SPR031484794 (SPR)s13360-020-00159-4-e DE-627 ger DE-627 rakwb eng Liu, Wenhao verfasserin aut High-order rogue waves of the generalized (3+1)-dimensional nonlinear wave in liquid with gas bubbles 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Società Italiana di Fisica (SIF) and Springer-Verlag GmbH Germany, part of Springer Nature 2020 Abstract We derive the general high-order rogue waves for the generalized (3+1)-dimensional nonlinear wave equation, which can be directed from a liquid containing gas bubbles. Based on the KP reduction method, the dynamical behaviors of these fundamental rogue waves, including line rogue waves and general first-order rogue waves, are given in different planes. In addition, the second-order rogue waves are also discussed. They consist of two interacting line waves and arise from the constant background, and then, they disappear into the constant background finally. Furthermore, the third-order rogue waves are shown in the (x, y) plane, which have different patterns with different values of parameters. Besides, we find that the third-order rogue waves are composed of three line waves interacting in the (x, t) plane. Zhang, Yufeng aut Zhang, Hongyi aut Enthalten in The European physical journal Berlin : Springer, 2011 135(2020), 2 vom: 28. Jan. (DE-627)647653958 (DE-600)2595693-0 2190-5444 nnns volume:135 year:2020 number:2 day:28 month:01 https://dx.doi.org/10.1140/epjp/s13360-020-00159-4 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_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 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 135 2020 2 28 01
allfieldsGer	10.1140/epjp/s13360-020-00159-4 doi (DE-627)SPR031484794 (SPR)s13360-020-00159-4-e DE-627 ger DE-627 rakwb eng Liu, Wenhao verfasserin aut High-order rogue waves of the generalized (3+1)-dimensional nonlinear wave in liquid with gas bubbles 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Società Italiana di Fisica (SIF) and Springer-Verlag GmbH Germany, part of Springer Nature 2020 Abstract We derive the general high-order rogue waves for the generalized (3+1)-dimensional nonlinear wave equation, which can be directed from a liquid containing gas bubbles. Based on the KP reduction method, the dynamical behaviors of these fundamental rogue waves, including line rogue waves and general first-order rogue waves, are given in different planes. In addition, the second-order rogue waves are also discussed. They consist of two interacting line waves and arise from the constant background, and then, they disappear into the constant background finally. Furthermore, the third-order rogue waves are shown in the (x, y) plane, which have different patterns with different values of parameters. Besides, we find that the third-order rogue waves are composed of three line waves interacting in the (x, t) plane. Zhang, Yufeng aut Zhang, Hongyi aut Enthalten in The European physical journal Berlin : Springer, 2011 135(2020), 2 vom: 28. Jan. (DE-627)647653958 (DE-600)2595693-0 2190-5444 nnns volume:135 year:2020 number:2 day:28 month:01 https://dx.doi.org/10.1140/epjp/s13360-020-00159-4 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_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 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 135 2020 2 28 01
allfieldsSound	10.1140/epjp/s13360-020-00159-4 doi (DE-627)SPR031484794 (SPR)s13360-020-00159-4-e DE-627 ger DE-627 rakwb eng Liu, Wenhao verfasserin aut High-order rogue waves of the generalized (3+1)-dimensional nonlinear wave in liquid with gas bubbles 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Società Italiana di Fisica (SIF) and Springer-Verlag GmbH Germany, part of Springer Nature 2020 Abstract We derive the general high-order rogue waves for the generalized (3+1)-dimensional nonlinear wave equation, which can be directed from a liquid containing gas bubbles. Based on the KP reduction method, the dynamical behaviors of these fundamental rogue waves, including line rogue waves and general first-order rogue waves, are given in different planes. In addition, the second-order rogue waves are also discussed. They consist of two interacting line waves and arise from the constant background, and then, they disappear into the constant background finally. Furthermore, the third-order rogue waves are shown in the (x, y) plane, which have different patterns with different values of parameters. Besides, we find that the third-order rogue waves are composed of three line waves interacting in the (x, t) plane. Zhang, Yufeng aut Zhang, Hongyi aut Enthalten in The European physical journal Berlin : Springer, 2011 135(2020), 2 vom: 28. Jan. (DE-627)647653958 (DE-600)2595693-0 2190-5444 nnns volume:135 year:2020 number:2 day:28 month:01 https://dx.doi.org/10.1140/epjp/s13360-020-00159-4 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_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 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 135 2020 2 28 01
language	English
source	Enthalten in The European physical journal 135(2020), 2 vom: 28. Jan. volume:135 year:2020 number:2 day:28 month:01
sourceStr	Enthalten in The European physical journal 135(2020), 2 vom: 28. Jan. volume:135 year:2020 number:2 day:28 month:01
format_phy_str_mv	Article
institution	findex.gbv.de
isfreeaccess_bool	false
container_title	The European physical journal
authorswithroles_txt_mv	Liu, Wenhao @@aut@@ Zhang, Yufeng @@aut@@ Zhang, Hongyi @@aut@@
publishDateDaySort_date	2020-01-28T00:00:00Z
hierarchy_top_id	647653958
id	SPR031484794
language_de	englisch
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author	Liu, Wenhao
spellingShingle	Liu, Wenhao High-order rogue waves of the generalized (3+1)-dimensional nonlinear wave in liquid with gas bubbles
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topic_title	High-order rogue waves of the generalized (3+1)-dimensional nonlinear wave in liquid with gas bubbles
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title	High-order rogue waves of the generalized (3+1)-dimensional nonlinear wave in liquid with gas bubbles
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title_full	High-order rogue waves of the generalized (3+1)-dimensional nonlinear wave in liquid with gas bubbles
author_sort	Liu, Wenhao
journal	The European physical journal
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author_browse	Liu, Wenhao Zhang, Yufeng Zhang, Hongyi
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title_sort	high-order rogue waves of the generalized (3+1)-dimensional nonlinear wave in liquid with gas bubbles
title_auth	High-order rogue waves of the generalized (3+1)-dimensional nonlinear wave in liquid with gas bubbles
abstract	Abstract We derive the general high-order rogue waves for the generalized (3+1)-dimensional nonlinear wave equation, which can be directed from a liquid containing gas bubbles. Based on the KP reduction method, the dynamical behaviors of these fundamental rogue waves, including line rogue waves and general first-order rogue waves, are given in different planes. In addition, the second-order rogue waves are also discussed. They consist of two interacting line waves and arise from the constant background, and then, they disappear into the constant background finally. Furthermore, the third-order rogue waves are shown in the (x, y) plane, which have different patterns with different values of parameters. Besides, we find that the third-order rogue waves are composed of three line waves interacting in the (x, t) plane. © Società Italiana di Fisica (SIF) and Springer-Verlag GmbH Germany, part of Springer Nature 2020
abstractGer	Abstract We derive the general high-order rogue waves for the generalized (3+1)-dimensional nonlinear wave equation, which can be directed from a liquid containing gas bubbles. Based on the KP reduction method, the dynamical behaviors of these fundamental rogue waves, including line rogue waves and general first-order rogue waves, are given in different planes. In addition, the second-order rogue waves are also discussed. They consist of two interacting line waves and arise from the constant background, and then, they disappear into the constant background finally. Furthermore, the third-order rogue waves are shown in the (x, y) plane, which have different patterns with different values of parameters. Besides, we find that the third-order rogue waves are composed of three line waves interacting in the (x, t) plane. © Società Italiana di Fisica (SIF) and Springer-Verlag GmbH Germany, part of Springer Nature 2020
abstract_unstemmed	Abstract We derive the general high-order rogue waves for the generalized (3+1)-dimensional nonlinear wave equation, which can be directed from a liquid containing gas bubbles. Based on the KP reduction method, the dynamical behaviors of these fundamental rogue waves, including line rogue waves and general first-order rogue waves, are given in different planes. In addition, the second-order rogue waves are also discussed. They consist of two interacting line waves and arise from the constant background, and then, they disappear into the constant background finally. Furthermore, the third-order rogue waves are shown in the (x, y) plane, which have different patterns with different values of parameters. Besides, we find that the third-order rogue waves are composed of three line waves interacting in the (x, t) plane. © Società Italiana di Fisica (SIF) and Springer-Verlag GmbH Germany, part of Springer Nature 2020
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title_short	High-order rogue waves of the generalized (3+1)-dimensional nonlinear wave in liquid with gas bubbles
url	https://dx.doi.org/10.1140/epjp/s13360-020-00159-4
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author2	Zhang, Yufeng Zhang, Hongyi
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doi_str	10.1140/epjp/s13360-020-00159-4
up_date	2024-07-03T23:56:40.909Z
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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">SPR031484794</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230331073018.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">201007s2020 xx \|\|\|\|\|o 00\| \|\|eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1140/epjp/s13360-020-00159-4</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)SPR031484794</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(SPR)s13360-020-00159-4-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">Liu, Wenhao</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">High-order rogue waves of the generalized (3+1)-dimensional nonlinear wave in liquid with gas bubbles</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2020</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">© Società Italiana di Fisica (SIF) and Springer-Verlag GmbH Germany, part of Springer Nature 2020</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract We derive the general high-order rogue waves for the generalized (3+1)-dimensional nonlinear wave equation, which can be directed from a liquid containing gas bubbles. Based on the KP reduction method, the dynamical behaviors of these fundamental rogue waves, including line rogue waves and general first-order rogue waves, are given in different planes. In addition, the second-order rogue waves are also discussed. They consist of two interacting line waves and arise from the constant background, and then, they disappear into the constant background finally. Furthermore, the third-order rogue waves are shown in the (x, y) plane, which have different patterns with different values of parameters. Besides, we find that the third-order rogue waves are composed of three line waves interacting in the (x, t) plane.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Zhang, Yufeng</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Zhang, Hongyi</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">The European physical journal</subfield><subfield code="d">Berlin : Springer, 2011</subfield><subfield code="g">135(2020), 2 vom: 28. 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High-order rogue waves of the generalized (3+1)-dimensional nonlinear wave in liquid with gas bubbles

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