Peakon, Solitary and Smooth Periodic Wave Solutions for a Modification of the K(2,2) Equation
We consider a modification of the K(2,2) equation ut=2uuxxx+2kuxuxx+2uux using the bifurcation method of dynamical systems and the method of phase portraits analysis. From dynamic point of view, some peakons, solitary, and smooth periodic waves are found and their exact parametric representations ar...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/130520 |
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| _version_ | 1832568241210261504 |
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| author | Qing Meng Bin He |
| author_facet | Qing Meng Bin He |
| author_sort | Qing Meng |
| collection | DOAJ |
| description | We consider a modification of the K(2,2) equation ut=2uuxxx+2kuxuxx+2uux using the bifurcation method of dynamical systems and the method of phase portraits analysis. From dynamic point of view, some peakons, solitary,
and smooth periodic waves are found and their exact parametric representations are presented. Also, the coexistence of peakon and solitary wave solutions is investigated. |
| format | Article |
| id | doaj-art-b66619023ca4421e84c35a70df3a66a1 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-b66619023ca4421e84c35a70df3a66a12025-02-03T00:59:26ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/130520130520Peakon, Solitary and Smooth Periodic Wave Solutions for a Modification of the K(2,2) EquationQing Meng0Bin He1Department of Physics, Honghe University, Mengzi, Yunnan 661100, ChinaCollege of Mathematics, Honghe University, Mengzi, Yunnan 661100, ChinaWe consider a modification of the K(2,2) equation ut=2uuxxx+2kuxuxx+2uux using the bifurcation method of dynamical systems and the method of phase portraits analysis. From dynamic point of view, some peakons, solitary, and smooth periodic waves are found and their exact parametric representations are presented. Also, the coexistence of peakon and solitary wave solutions is investigated.http://dx.doi.org/10.1155/2014/130520 |
| spellingShingle | Qing Meng Bin He Peakon, Solitary and Smooth Periodic Wave Solutions for a Modification of the K(2,2) Equation Journal of Applied Mathematics |
| title | Peakon, Solitary and Smooth Periodic Wave Solutions for a Modification of the K(2,2) Equation |
| title_full | Peakon, Solitary and Smooth Periodic Wave Solutions for a Modification of the K(2,2) Equation |
| title_fullStr | Peakon, Solitary and Smooth Periodic Wave Solutions for a Modification of the K(2,2) Equation |
| title_full_unstemmed | Peakon, Solitary and Smooth Periodic Wave Solutions for a Modification of the K(2,2) Equation |
| title_short | Peakon, Solitary and Smooth Periodic Wave Solutions for a Modification of the K(2,2) Equation |
| title_sort | peakon solitary and smooth periodic wave solutions for a modification of the k 2 2 equation |
| url | http://dx.doi.org/10.1155/2014/130520 |
| work_keys_str_mv | AT qingmeng peakonsolitaryandsmoothperiodicwavesolutionsforamodificationofthek22equation AT binhe peakonsolitaryandsmoothperiodicwavesolutionsforamodificationofthek22equation |