Soliton, breather and rogue wave solutions of the coupled Gerdjikov–Ivanov equation via Darboux transformation
Abstract The coupled Gerdjikov–Ivanov (cGI) equation, associated with a %$3\times 3%$ matrix Lax pair, is an important integrable system that can be reduced to the third kind of derivative nonlinear Schrödinger equation, i.e., Gerdjikov–Ivanov equation. Based on the symmetric relations of the Lax pa...
Ausführliche Beschreibung
Autor*in: |
Ji, Ting [verfasserIn] Zhai, Yunyun [verfasserIn] |
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Format: |
E-Artikel |
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Sprache: |
Englisch |
Erschienen: |
2020 |
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Übergeordnetes Werk: |
Enthalten in: Nonlinear dynamics - Dordrecht [u.a.] : Springer Science + Business Media B.V, 1990, 101(2020), 1 vom: Juli, Seite 619-631 |
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Übergeordnetes Werk: |
volume:101 ; year:2020 ; number:1 ; month:07 ; pages:619-631 |
Links: |
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DOI / URN: |
10.1007/s11071-020-05790-5 |
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Katalog-ID: |
SPR040551679 |
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520 | |a Abstract The coupled Gerdjikov–Ivanov (cGI) equation, associated with a %$3\times 3%$ matrix Lax pair, is an important integrable system that can be reduced to the third kind of derivative nonlinear Schrödinger equation, i.e., Gerdjikov–Ivanov equation. Based on the symmetric relations of the Lax pair, 2N-fold Darboux transformation for the cGI equation is constructed. As an application of the Darboux transformation, we obtain some exact solutions of the cGI equation, including bright–bright soliton, dark–bright soliton, Ma breather, breather fission, soliton fusion and dark–bright rogue wave. | ||
650 | 4 | |a Coupled Gerdjikov–Ivanov equation |7 (dpeaa)DE-He213 | |
650 | 4 | |a Darboux transformation |7 (dpeaa)DE-He213 | |
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700 | 1 | |a Zhai, Yunyun |e verfasserin |4 aut | |
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10.1007/s11071-020-05790-5 doi (DE-627)SPR040551679 (SPR)s11071-020-05790-5-e DE-627 ger DE-627 rakwb eng 510 ASE 30.20 bkl Ji, Ting verfasserin aut Soliton, breather and rogue wave solutions of the coupled Gerdjikov–Ivanov equation via Darboux transformation 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract The coupled Gerdjikov–Ivanov (cGI) equation, associated with a %$3\times 3%$ matrix Lax pair, is an important integrable system that can be reduced to the third kind of derivative nonlinear Schrödinger equation, i.e., Gerdjikov–Ivanov equation. Based on the symmetric relations of the Lax pair, 2N-fold Darboux transformation for the cGI equation is constructed. As an application of the Darboux transformation, we obtain some exact solutions of the cGI equation, including bright–bright soliton, dark–bright soliton, Ma breather, breather fission, soliton fusion and dark–bright rogue wave. Coupled Gerdjikov–Ivanov equation (dpeaa)DE-He213 Darboux transformation (dpeaa)DE-He213 Exact solutions (dpeaa)DE-He213 Zhai, Yunyun verfasserin aut Enthalten in Nonlinear dynamics Dordrecht [u.a.] : Springer Science + Business Media B.V, 1990 101(2020), 1 vom: Juli, Seite 619-631 (DE-627)315297034 (DE-600)2012600-1 1573-269X nnns volume:101 year:2020 number:1 month:07 pages:619-631 https://dx.doi.org/10.1007/s11071-020-05790-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE 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 30.20 ASE AR 101 2020 1 07 619-631 |
spelling |
10.1007/s11071-020-05790-5 doi (DE-627)SPR040551679 (SPR)s11071-020-05790-5-e DE-627 ger DE-627 rakwb eng 510 ASE 30.20 bkl Ji, Ting verfasserin aut Soliton, breather and rogue wave solutions of the coupled Gerdjikov–Ivanov equation via Darboux transformation 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract The coupled Gerdjikov–Ivanov (cGI) equation, associated with a %$3\times 3%$ matrix Lax pair, is an important integrable system that can be reduced to the third kind of derivative nonlinear Schrödinger equation, i.e., Gerdjikov–Ivanov equation. Based on the symmetric relations of the Lax pair, 2N-fold Darboux transformation for the cGI equation is constructed. As an application of the Darboux transformation, we obtain some exact solutions of the cGI equation, including bright–bright soliton, dark–bright soliton, Ma breather, breather fission, soliton fusion and dark–bright rogue wave. Coupled Gerdjikov–Ivanov equation (dpeaa)DE-He213 Darboux transformation (dpeaa)DE-He213 Exact solutions (dpeaa)DE-He213 Zhai, Yunyun verfasserin aut Enthalten in Nonlinear dynamics Dordrecht [u.a.] : Springer Science + Business Media B.V, 1990 101(2020), 1 vom: Juli, Seite 619-631 (DE-627)315297034 (DE-600)2012600-1 1573-269X nnns volume:101 year:2020 number:1 month:07 pages:619-631 https://dx.doi.org/10.1007/s11071-020-05790-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE 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 30.20 ASE AR 101 2020 1 07 619-631 |
allfields_unstemmed |
10.1007/s11071-020-05790-5 doi (DE-627)SPR040551679 (SPR)s11071-020-05790-5-e DE-627 ger DE-627 rakwb eng 510 ASE 30.20 bkl Ji, Ting verfasserin aut Soliton, breather and rogue wave solutions of the coupled Gerdjikov–Ivanov equation via Darboux transformation 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract The coupled Gerdjikov–Ivanov (cGI) equation, associated with a %$3\times 3%$ matrix Lax pair, is an important integrable system that can be reduced to the third kind of derivative nonlinear Schrödinger equation, i.e., Gerdjikov–Ivanov equation. Based on the symmetric relations of the Lax pair, 2N-fold Darboux transformation for the cGI equation is constructed. As an application of the Darboux transformation, we obtain some exact solutions of the cGI equation, including bright–bright soliton, dark–bright soliton, Ma breather, breather fission, soliton fusion and dark–bright rogue wave. Coupled Gerdjikov–Ivanov equation (dpeaa)DE-He213 Darboux transformation (dpeaa)DE-He213 Exact solutions (dpeaa)DE-He213 Zhai, Yunyun verfasserin aut Enthalten in Nonlinear dynamics Dordrecht [u.a.] : Springer Science + Business Media B.V, 1990 101(2020), 1 vom: Juli, Seite 619-631 (DE-627)315297034 (DE-600)2012600-1 1573-269X nnns volume:101 year:2020 number:1 month:07 pages:619-631 https://dx.doi.org/10.1007/s11071-020-05790-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE 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 30.20 ASE AR 101 2020 1 07 619-631 |
allfieldsGer |
10.1007/s11071-020-05790-5 doi (DE-627)SPR040551679 (SPR)s11071-020-05790-5-e DE-627 ger DE-627 rakwb eng 510 ASE 30.20 bkl Ji, Ting verfasserin aut Soliton, breather and rogue wave solutions of the coupled Gerdjikov–Ivanov equation via Darboux transformation 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract The coupled Gerdjikov–Ivanov (cGI) equation, associated with a %$3\times 3%$ matrix Lax pair, is an important integrable system that can be reduced to the third kind of derivative nonlinear Schrödinger equation, i.e., Gerdjikov–Ivanov equation. Based on the symmetric relations of the Lax pair, 2N-fold Darboux transformation for the cGI equation is constructed. As an application of the Darboux transformation, we obtain some exact solutions of the cGI equation, including bright–bright soliton, dark–bright soliton, Ma breather, breather fission, soliton fusion and dark–bright rogue wave. Coupled Gerdjikov–Ivanov equation (dpeaa)DE-He213 Darboux transformation (dpeaa)DE-He213 Exact solutions (dpeaa)DE-He213 Zhai, Yunyun verfasserin aut Enthalten in Nonlinear dynamics Dordrecht [u.a.] : Springer Science + Business Media B.V, 1990 101(2020), 1 vom: Juli, Seite 619-631 (DE-627)315297034 (DE-600)2012600-1 1573-269X nnns volume:101 year:2020 number:1 month:07 pages:619-631 https://dx.doi.org/10.1007/s11071-020-05790-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE 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 30.20 ASE AR 101 2020 1 07 619-631 |
allfieldsSound |
10.1007/s11071-020-05790-5 doi (DE-627)SPR040551679 (SPR)s11071-020-05790-5-e DE-627 ger DE-627 rakwb eng 510 ASE 30.20 bkl Ji, Ting verfasserin aut Soliton, breather and rogue wave solutions of the coupled Gerdjikov–Ivanov equation via Darboux transformation 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract The coupled Gerdjikov–Ivanov (cGI) equation, associated with a %$3\times 3%$ matrix Lax pair, is an important integrable system that can be reduced to the third kind of derivative nonlinear Schrödinger equation, i.e., Gerdjikov–Ivanov equation. Based on the symmetric relations of the Lax pair, 2N-fold Darboux transformation for the cGI equation is constructed. As an application of the Darboux transformation, we obtain some exact solutions of the cGI equation, including bright–bright soliton, dark–bright soliton, Ma breather, breather fission, soliton fusion and dark–bright rogue wave. Coupled Gerdjikov–Ivanov equation (dpeaa)DE-He213 Darboux transformation (dpeaa)DE-He213 Exact solutions (dpeaa)DE-He213 Zhai, Yunyun verfasserin aut Enthalten in Nonlinear dynamics Dordrecht [u.a.] : Springer Science + Business Media B.V, 1990 101(2020), 1 vom: Juli, Seite 619-631 (DE-627)315297034 (DE-600)2012600-1 1573-269X nnns volume:101 year:2020 number:1 month:07 pages:619-631 https://dx.doi.org/10.1007/s11071-020-05790-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE 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 30.20 ASE AR 101 2020 1 07 619-631 |
language |
English |
source |
Enthalten in Nonlinear dynamics 101(2020), 1 vom: Juli, Seite 619-631 volume:101 year:2020 number:1 month:07 pages:619-631 |
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Enthalten in Nonlinear dynamics 101(2020), 1 vom: Juli, Seite 619-631 volume:101 year:2020 number:1 month:07 pages:619-631 |
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topic_facet |
Coupled Gerdjikov–Ivanov equation Darboux transformation Exact solutions |
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container_title |
Nonlinear dynamics |
authorswithroles_txt_mv |
Ji, Ting @@aut@@ Zhai, Yunyun @@aut@@ |
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2020-07-01T00:00:00Z |
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Ji, Ting ddc 510 bkl 30.20 misc Coupled Gerdjikov–Ivanov equation misc Darboux transformation misc Exact solutions Soliton, breather and rogue wave solutions of the coupled Gerdjikov–Ivanov equation via Darboux transformation |
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510 ASE 30.20 bkl Soliton, breather and rogue wave solutions of the coupled Gerdjikov–Ivanov equation via Darboux transformation Coupled Gerdjikov–Ivanov equation (dpeaa)DE-He213 Darboux transformation (dpeaa)DE-He213 Exact solutions (dpeaa)DE-He213 |
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soliton, breather and rogue wave solutions of the coupled gerdjikov–ivanov equation via darboux transformation |
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Soliton, breather and rogue wave solutions of the coupled Gerdjikov–Ivanov equation via Darboux transformation |
abstract |
Abstract The coupled Gerdjikov–Ivanov (cGI) equation, associated with a %$3\times 3%$ matrix Lax pair, is an important integrable system that can be reduced to the third kind of derivative nonlinear Schrödinger equation, i.e., Gerdjikov–Ivanov equation. Based on the symmetric relations of the Lax pair, 2N-fold Darboux transformation for the cGI equation is constructed. As an application of the Darboux transformation, we obtain some exact solutions of the cGI equation, including bright–bright soliton, dark–bright soliton, Ma breather, breather fission, soliton fusion and dark–bright rogue wave. |
abstractGer |
Abstract The coupled Gerdjikov–Ivanov (cGI) equation, associated with a %$3\times 3%$ matrix Lax pair, is an important integrable system that can be reduced to the third kind of derivative nonlinear Schrödinger equation, i.e., Gerdjikov–Ivanov equation. Based on the symmetric relations of the Lax pair, 2N-fold Darboux transformation for the cGI equation is constructed. As an application of the Darboux transformation, we obtain some exact solutions of the cGI equation, including bright–bright soliton, dark–bright soliton, Ma breather, breather fission, soliton fusion and dark–bright rogue wave. |
abstract_unstemmed |
Abstract The coupled Gerdjikov–Ivanov (cGI) equation, associated with a %$3\times 3%$ matrix Lax pair, is an important integrable system that can be reduced to the third kind of derivative nonlinear Schrödinger equation, i.e., Gerdjikov–Ivanov equation. Based on the symmetric relations of the Lax pair, 2N-fold Darboux transformation for the cGI equation is constructed. As an application of the Darboux transformation, we obtain some exact solutions of the cGI equation, including bright–bright soliton, dark–bright soliton, Ma breather, breather fission, soliton fusion and dark–bright rogue wave. |
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Soliton, breather and rogue wave solutions of the coupled Gerdjikov–Ivanov equation via Darboux transformation |
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Based on the symmetric relations of the Lax pair, 2N-fold Darboux transformation for the cGI equation is constructed. 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