Lump solutions to the (2+1)-dimensional shallow water wave equation
Through symbolic computation with MAPLE, a class of lump solutions to the (2+1)-D shallow water wave equation is presented, making use of its Hirota bi-linear form. The resulting lump solutions contain six free parameters, two of which are due to the translation invariance of the (2+1)-D shallow wat...
Ausführliche Beschreibung
Autor*in: |
Ma Hong-Cai [verfasserIn] Ni Ke [verfasserIn] Deng Aiping [verfasserIn] |
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E-Artikel |
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Sprache: |
Englisch |
Erschienen: |
2017 |
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Übergeordnetes Werk: |
In: Thermal Science - VINCA Institute of Nuclear Sciences, 2006, 21(2017), 4, Seite 1765-1769 |
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Übergeordnetes Werk: |
volume:21 ; year:2017 ; number:4 ; pages:1765-1769 |
Links: |
Link aufrufen |
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DOI / URN: |
10.2298/TSCI160816066M |
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Katalog-ID: |
DOAJ053406710 |
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10.2298/TSCI160816066M doi (DE-627)DOAJ053406710 (DE-599)DOAJa3da6066e15048dda597778c98d2a1ea DE-627 ger DE-627 rakwb eng TJ1-1570 Ma Hong-Cai verfasserin aut Lump solutions to the (2+1)-dimensional shallow water wave equation 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Through symbolic computation with MAPLE, a class of lump solutions to the (2+1)-D shallow water wave equation is presented, making use of its Hirota bi-linear form. The resulting lump solutions contain six free parameters, two of which are due to the translation invariance of the (2+1)-D shallow water wave equation and the other four of which satisfy a non-zero determinant condition guaranteeing analyticity and rational localization of the solutions. lump solution Hirota bilinear shallow water wave equation Mechanical engineering and machinery Ni Ke verfasserin aut Deng Aiping verfasserin aut In Thermal Science VINCA Institute of Nuclear Sciences, 2006 21(2017), 4, Seite 1765-1769 (DE-627)514240016 (DE-600)2241319-4 23347163 nnns volume:21 year:2017 number:4 pages:1765-1769 https://doi.org/10.2298/TSCI160816066M kostenfrei https://doaj.org/article/a3da6066e15048dda597778c98d2a1ea kostenfrei http://www.doiserbia.nb.rs/img/doi/0354-9836/2017/0354-98361700066M.pdf kostenfrei https://doaj.org/toc/0354-9836 Journal toc kostenfrei https://doaj.org/toc/2334-7163 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 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_2027 GBV_ILN_2031 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2061 GBV_ILN_2108 GBV_ILN_2111 GBV_ILN_2119 GBV_ILN_2190 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 21 2017 4 1765-1769 |
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10.2298/TSCI160816066M doi (DE-627)DOAJ053406710 (DE-599)DOAJa3da6066e15048dda597778c98d2a1ea DE-627 ger DE-627 rakwb eng TJ1-1570 Ma Hong-Cai verfasserin aut Lump solutions to the (2+1)-dimensional shallow water wave equation 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Through symbolic computation with MAPLE, a class of lump solutions to the (2+1)-D shallow water wave equation is presented, making use of its Hirota bi-linear form. The resulting lump solutions contain six free parameters, two of which are due to the translation invariance of the (2+1)-D shallow water wave equation and the other four of which satisfy a non-zero determinant condition guaranteeing analyticity and rational localization of the solutions. lump solution Hirota bilinear shallow water wave equation Mechanical engineering and machinery Ni Ke verfasserin aut Deng Aiping verfasserin aut In Thermal Science VINCA Institute of Nuclear Sciences, 2006 21(2017), 4, Seite 1765-1769 (DE-627)514240016 (DE-600)2241319-4 23347163 nnns volume:21 year:2017 number:4 pages:1765-1769 https://doi.org/10.2298/TSCI160816066M kostenfrei https://doaj.org/article/a3da6066e15048dda597778c98d2a1ea kostenfrei http://www.doiserbia.nb.rs/img/doi/0354-9836/2017/0354-98361700066M.pdf kostenfrei https://doaj.org/toc/0354-9836 Journal toc kostenfrei https://doaj.org/toc/2334-7163 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 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_2027 GBV_ILN_2031 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2061 GBV_ILN_2108 GBV_ILN_2111 GBV_ILN_2119 GBV_ILN_2190 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 21 2017 4 1765-1769 |
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10.2298/TSCI160816066M doi (DE-627)DOAJ053406710 (DE-599)DOAJa3da6066e15048dda597778c98d2a1ea DE-627 ger DE-627 rakwb eng TJ1-1570 Ma Hong-Cai verfasserin aut Lump solutions to the (2+1)-dimensional shallow water wave equation 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Through symbolic computation with MAPLE, a class of lump solutions to the (2+1)-D shallow water wave equation is presented, making use of its Hirota bi-linear form. The resulting lump solutions contain six free parameters, two of which are due to the translation invariance of the (2+1)-D shallow water wave equation and the other four of which satisfy a non-zero determinant condition guaranteeing analyticity and rational localization of the solutions. lump solution Hirota bilinear shallow water wave equation Mechanical engineering and machinery Ni Ke verfasserin aut Deng Aiping verfasserin aut In Thermal Science VINCA Institute of Nuclear Sciences, 2006 21(2017), 4, Seite 1765-1769 (DE-627)514240016 (DE-600)2241319-4 23347163 nnns volume:21 year:2017 number:4 pages:1765-1769 https://doi.org/10.2298/TSCI160816066M kostenfrei https://doaj.org/article/a3da6066e15048dda597778c98d2a1ea kostenfrei http://www.doiserbia.nb.rs/img/doi/0354-9836/2017/0354-98361700066M.pdf kostenfrei https://doaj.org/toc/0354-9836 Journal toc kostenfrei https://doaj.org/toc/2334-7163 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 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_2027 GBV_ILN_2031 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2061 GBV_ILN_2108 GBV_ILN_2111 GBV_ILN_2119 GBV_ILN_2190 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 21 2017 4 1765-1769 |
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10.2298/TSCI160816066M doi (DE-627)DOAJ053406710 (DE-599)DOAJa3da6066e15048dda597778c98d2a1ea DE-627 ger DE-627 rakwb eng TJ1-1570 Ma Hong-Cai verfasserin aut Lump solutions to the (2+1)-dimensional shallow water wave equation 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Through symbolic computation with MAPLE, a class of lump solutions to the (2+1)-D shallow water wave equation is presented, making use of its Hirota bi-linear form. The resulting lump solutions contain six free parameters, two of which are due to the translation invariance of the (2+1)-D shallow water wave equation and the other four of which satisfy a non-zero determinant condition guaranteeing analyticity and rational localization of the solutions. lump solution Hirota bilinear shallow water wave equation Mechanical engineering and machinery Ni Ke verfasserin aut Deng Aiping verfasserin aut In Thermal Science VINCA Institute of Nuclear Sciences, 2006 21(2017), 4, Seite 1765-1769 (DE-627)514240016 (DE-600)2241319-4 23347163 nnns volume:21 year:2017 number:4 pages:1765-1769 https://doi.org/10.2298/TSCI160816066M kostenfrei https://doaj.org/article/a3da6066e15048dda597778c98d2a1ea kostenfrei http://www.doiserbia.nb.rs/img/doi/0354-9836/2017/0354-98361700066M.pdf kostenfrei https://doaj.org/toc/0354-9836 Journal toc kostenfrei https://doaj.org/toc/2334-7163 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 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_2027 GBV_ILN_2031 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2061 GBV_ILN_2108 GBV_ILN_2111 GBV_ILN_2119 GBV_ILN_2190 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 21 2017 4 1765-1769 |
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10.2298/TSCI160816066M doi (DE-627)DOAJ053406710 (DE-599)DOAJa3da6066e15048dda597778c98d2a1ea DE-627 ger DE-627 rakwb eng TJ1-1570 Ma Hong-Cai verfasserin aut Lump solutions to the (2+1)-dimensional shallow water wave equation 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Through symbolic computation with MAPLE, a class of lump solutions to the (2+1)-D shallow water wave equation is presented, making use of its Hirota bi-linear form. The resulting lump solutions contain six free parameters, two of which are due to the translation invariance of the (2+1)-D shallow water wave equation and the other four of which satisfy a non-zero determinant condition guaranteeing analyticity and rational localization of the solutions. lump solution Hirota bilinear shallow water wave equation Mechanical engineering and machinery Ni Ke verfasserin aut Deng Aiping verfasserin aut In Thermal Science VINCA Institute of Nuclear Sciences, 2006 21(2017), 4, Seite 1765-1769 (DE-627)514240016 (DE-600)2241319-4 23347163 nnns volume:21 year:2017 number:4 pages:1765-1769 https://doi.org/10.2298/TSCI160816066M kostenfrei https://doaj.org/article/a3da6066e15048dda597778c98d2a1ea kostenfrei http://www.doiserbia.nb.rs/img/doi/0354-9836/2017/0354-98361700066M.pdf kostenfrei https://doaj.org/toc/0354-9836 Journal toc kostenfrei https://doaj.org/toc/2334-7163 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 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_2027 GBV_ILN_2031 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2061 GBV_ILN_2108 GBV_ILN_2111 GBV_ILN_2119 GBV_ILN_2190 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 21 2017 4 1765-1769 |
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Lump solutions to the (2+1)-dimensional shallow water wave equation |
abstract |
Through symbolic computation with MAPLE, a class of lump solutions to the (2+1)-D shallow water wave equation is presented, making use of its Hirota bi-linear form. The resulting lump solutions contain six free parameters, two of which are due to the translation invariance of the (2+1)-D shallow water wave equation and the other four of which satisfy a non-zero determinant condition guaranteeing analyticity and rational localization of the solutions. |
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Through symbolic computation with MAPLE, a class of lump solutions to the (2+1)-D shallow water wave equation is presented, making use of its Hirota bi-linear form. The resulting lump solutions contain six free parameters, two of which are due to the translation invariance of the (2+1)-D shallow water wave equation and the other four of which satisfy a non-zero determinant condition guaranteeing analyticity and rational localization of the solutions. |
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Through symbolic computation with MAPLE, a class of lump solutions to the (2+1)-D shallow water wave equation is presented, making use of its Hirota bi-linear form. The resulting lump solutions contain six free parameters, two of which are due to the translation invariance of the (2+1)-D shallow water wave equation and the other four of which satisfy a non-zero determinant condition guaranteeing analyticity and rational localization of the solutions. |
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Lump solutions to the (2+1)-dimensional shallow water wave equation |
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