Rogue Wave for the (3+1)-Dimensional Yu-Toda-Sasa-Fukuyama Equation
A new method, homoclinic (heteroclinic) breather limit method (HBLM), for seeking rogue wave solution to nonlinear evolution equation (NEE) is proposed. (3+1)-dimensional Yu-Toda-Sasa-Fukuyama (YTSF) equation is used as an example to illustrate the effectiveness of the suggested method. A new family...
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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/10.1155/2014/378167 |
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| _version_ | 1832555948596527104 |
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| author | Hanlin Chen Zhenhui Xu Zhengde Dai |
| author_facet | Hanlin Chen Zhenhui Xu Zhengde Dai |
| author_sort | Hanlin Chen |
| collection | DOAJ |
| description | A new method, homoclinic (heteroclinic) breather limit method (HBLM), for seeking rogue wave solution to nonlinear evolution equation (NEE) is proposed. (3+1)-dimensional Yu-Toda-Sasa-Fukuyama (YTSF) equation is used as an example to illustrate the effectiveness of the suggested method. A new family of two-wave solution, rational breather wave solution, is obtained by extended homoclinic test method, and it is just a rogue wave solution. This result shows rogue wave can come from extreme behavior of breather solitary wave for (3+1)-dimensional nonlinear wave fields. |
| format | Article |
| id | doaj-art-b7327f9eb52d474c84e19e744aff8460 |
| 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-b7327f9eb52d474c84e19e744aff84602025-02-03T05:46:45ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/378167378167Rogue Wave for the (3+1)-Dimensional Yu-Toda-Sasa-Fukuyama EquationHanlin Chen0Zhenhui Xu1Zhengde Dai2Joint Laboratory for Extreme Conditions Matter Properties, Southwest University of Science and Technology, Mianyang 621010, ChinaApplied Technology College, Southwest University of Science and Technology, Mianyang 621010, ChinaSchool of Mathematics and Physics, Yunnan University, Kunming 650091, ChinaA new method, homoclinic (heteroclinic) breather limit method (HBLM), for seeking rogue wave solution to nonlinear evolution equation (NEE) is proposed. (3+1)-dimensional Yu-Toda-Sasa-Fukuyama (YTSF) equation is used as an example to illustrate the effectiveness of the suggested method. A new family of two-wave solution, rational breather wave solution, is obtained by extended homoclinic test method, and it is just a rogue wave solution. This result shows rogue wave can come from extreme behavior of breather solitary wave for (3+1)-dimensional nonlinear wave fields.http://dx.doi.org/10.1155/2014/378167 |
| spellingShingle | Hanlin Chen Zhenhui Xu Zhengde Dai Rogue Wave for the (3+1)-Dimensional Yu-Toda-Sasa-Fukuyama Equation Abstract and Applied Analysis |
| title | Rogue Wave for the (3+1)-Dimensional Yu-Toda-Sasa-Fukuyama Equation |
| title_full | Rogue Wave for the (3+1)-Dimensional Yu-Toda-Sasa-Fukuyama Equation |
| title_fullStr | Rogue Wave for the (3+1)-Dimensional Yu-Toda-Sasa-Fukuyama Equation |
| title_full_unstemmed | Rogue Wave for the (3+1)-Dimensional Yu-Toda-Sasa-Fukuyama Equation |
| title_short | Rogue Wave for the (3+1)-Dimensional Yu-Toda-Sasa-Fukuyama Equation |
| title_sort | rogue wave for the 3 1 dimensional yu toda sasa fukuyama equation |
| url | http://dx.doi.org/10.1155/2014/378167 |
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