The Bifurcations of Traveling Wave Solutions of the Kundu Equation
We use the bifurcation method of dynamical systems to study the bifurcations of traveling wave solutions for the Kundu equation. Various explicit traveling wave solutions and their bifurcations are obtained. Via some special phase orbits, we obtain some new explicit traveling wave solutions. Our wor...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/137475 |
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| _version_ | 1850175824928440320 |
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| author | Yating Yi Zhengrong Liu |
| author_facet | Yating Yi Zhengrong Liu |
| author_sort | Yating Yi |
| collection | DOAJ |
| description | We use the bifurcation method of dynamical systems to study the bifurcations of traveling wave solutions for the Kundu equation. Various explicit traveling wave
solutions and their bifurcations are obtained. Via some special phase orbits, we obtain
some new explicit traveling wave solutions. Our work extends some previous results. |
| format | Article |
| id | doaj-art-c0b93fcb570643f5b2fae9cc2a6ac537 |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-c0b93fcb570643f5b2fae9cc2a6ac5372025-08-20T02:19:22ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/137475137475The Bifurcations of Traveling Wave Solutions of the Kundu EquationYating Yi0Zhengrong Liu1Department of Mathematics, South China University of Technology, Guangzhou 510640, ChinaDepartment of Mathematics, South China University of Technology, Guangzhou 510640, ChinaWe use the bifurcation method of dynamical systems to study the bifurcations of traveling wave solutions for the Kundu equation. Various explicit traveling wave solutions and their bifurcations are obtained. Via some special phase orbits, we obtain some new explicit traveling wave solutions. Our work extends some previous results.http://dx.doi.org/10.1155/2013/137475 |
| spellingShingle | Yating Yi Zhengrong Liu The Bifurcations of Traveling Wave Solutions of the Kundu Equation Journal of Applied Mathematics |
| title | The Bifurcations of Traveling Wave Solutions of the Kundu Equation |
| title_full | The Bifurcations of Traveling Wave Solutions of the Kundu Equation |
| title_fullStr | The Bifurcations of Traveling Wave Solutions of the Kundu Equation |
| title_full_unstemmed | The Bifurcations of Traveling Wave Solutions of the Kundu Equation |
| title_short | The Bifurcations of Traveling Wave Solutions of the Kundu Equation |
| title_sort | bifurcations of traveling wave solutions of the kundu equation |
| url | http://dx.doi.org/10.1155/2013/137475 |
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