New Rational Homoclinic and Rogue Waves for Davey-Stewartson Equation
A new method, homoclinic breather limit method (HBLM), for seeking rogue wave solution of nonlinear evolution equation is proposed. A new family of homoclinic breather wave solution, and rational homoclinic solution (homoclinic rogue wave) for DSI and DSII equations are obtained using the extended h...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/572863 |
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| _version_ | 1832564388722114560 |
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| author | Changfu Liu Chuanjian Wang Zhengde Dai Jun Liu |
| author_facet | Changfu Liu Chuanjian Wang Zhengde Dai Jun Liu |
| author_sort | Changfu Liu |
| collection | DOAJ |
| description | A new method, homoclinic breather limit method (HBLM), for seeking rogue wave solution of nonlinear evolution equation is proposed. A new family of homoclinic breather wave solution, and rational homoclinic solution (homoclinic rogue wave) for DSI and DSII equations are obtained using the extended homoclinic test method and homoclinic breather limit method (HBLM), respectively. Moreover, rogue wave solution is exhibited as period of periodic wave in homoclinic breather wave approaches to infinite. This result shows that rogue wave can be generated by extreme behavior of homoclinic breather wave for higher dimensional nonlinear wave fields. |
| format | Article |
| id | doaj-art-1ad74a3890c845e68081cfca0a2c716a |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-1ad74a3890c845e68081cfca0a2c716a2025-02-03T01:11:11ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/572863572863New Rational Homoclinic and Rogue Waves for Davey-Stewartson EquationChangfu Liu0Chuanjian Wang1Zhengde Dai2Jun Liu3School of Mathematics, Wenshan University, Wenshan 663000, ChinaSchool of Science, Kunming University of Science and Technology, Kunming 650031, ChinaSchool of Mathematics and Statistics, Yunnan University, Kunming 650091, ChinaDepartment of Mathematics and Information Science, Qujing Normal University, Qujing 655000, ChinaA new method, homoclinic breather limit method (HBLM), for seeking rogue wave solution of nonlinear evolution equation is proposed. A new family of homoclinic breather wave solution, and rational homoclinic solution (homoclinic rogue wave) for DSI and DSII equations are obtained using the extended homoclinic test method and homoclinic breather limit method (HBLM), respectively. Moreover, rogue wave solution is exhibited as period of periodic wave in homoclinic breather wave approaches to infinite. This result shows that rogue wave can be generated by extreme behavior of homoclinic breather wave for higher dimensional nonlinear wave fields.http://dx.doi.org/10.1155/2014/572863 |
| spellingShingle | Changfu Liu Chuanjian Wang Zhengde Dai Jun Liu New Rational Homoclinic and Rogue Waves for Davey-Stewartson Equation Abstract and Applied Analysis |
| title | New Rational Homoclinic and Rogue Waves for Davey-Stewartson Equation |
| title_full | New Rational Homoclinic and Rogue Waves for Davey-Stewartson Equation |
| title_fullStr | New Rational Homoclinic and Rogue Waves for Davey-Stewartson Equation |
| title_full_unstemmed | New Rational Homoclinic and Rogue Waves for Davey-Stewartson Equation |
| title_short | New Rational Homoclinic and Rogue Waves for Davey-Stewartson Equation |
| title_sort | new rational homoclinic and rogue waves for davey stewartson equation |
| url | http://dx.doi.org/10.1155/2014/572863 |
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