Resonant behavior of multiple wave solutions to a Hirota bilinear equation
For the exponential traveling wave solutions to the Hirota bilinear equations, a sufficient and necessary criterion for the existence of linear superposition principle has been given. Motivated by this criterion, we propose a new Hirota bilinear equation via using a multivariate polynomial. Applying...
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| Published in | Computers & mathematics with applications (1987) Vol. 72; no. 5; pp. 1225 - 1229 |
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| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.09.2016
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0898-1221 1873-7668 |
| DOI | 10.1016/j.camwa.2016.06.008 |
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| Abstract | For the exponential traveling wave solutions to the Hirota bilinear equations, a sufficient and necessary criterion for the existence of linear superposition principle has been given. Motivated by this criterion, we propose a new Hirota bilinear equation via using a multivariate polynomial. Applying the linear superposition principle to this new Hirota bilinear equation, we finally find two types of resonant multiple wave solutions, among which, the resonant three-wave solutions are illustrated with three-dimensional plots. |
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| AbstractList | For the exponential traveling wave solutions to the Hirota bilinear equations, a sufficient and necessary criterion for the existence of linear superposition principle has been given. Motivated by this criterion, we propose a new Hirota bilinear equation via using a multivariate polynomial. Applying the linear superposition principle to this new Hirota bilinear equation, we finally find two types of resonant multiple wave solutions, among which, the resonant three-wave solutions are illustrated with three-dimensional plots. |
| Author | Gao, Li-Na Lü, Xing Zhao, Xue-Ying Yu, Jun Zi, Yao-Yao |
| Author_xml | – sequence: 1 givenname: Li-Na surname: Gao fullname: Gao, Li-Na organization: Department of Mathematics, Beijing Jiao Tong University, Beijing 100044, China – sequence: 2 givenname: Xue-Ying surname: Zhao fullname: Zhao, Xue-Ying organization: Department of Mathematics, Beijing Jiao Tong University, Beijing 100044, China – sequence: 3 givenname: Yao-Yao surname: Zi fullname: Zi, Yao-Yao organization: Department of Mathematics, Beijing Jiao Tong University, Beijing 100044, China – sequence: 4 givenname: Jun surname: Yu fullname: Yu, Jun organization: Institute of Nonlinear Science, Shaoxing University, Shaoxing 312000, China – sequence: 5 givenname: Xing surname: Lü fullname: Lü, Xing email: XLV@bjtu.edu.cn, xinglv655@aliyun.com organization: Department of Mathematics, Beijing Jiao Tong University, Beijing 100044, China |
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| Title | Resonant behavior of multiple wave solutions to a Hirota bilinear equation |
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