Analytic solutions of a (2 + 1)-dimensional variable-coefficient Broer–Kaup system
✍ Scribed by Sheng Zhang; Jin-Mei Ba; Ying-Na Sun; Ling Dong
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 220 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1343
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✦ Synopsis
Communicated by J. Cash
Based on a Riccati equation and one of its new generalized solitary solutions constructed by the Exp-function method, new analytic solutions with free parameters and arbitrary functions of a (2+1)-dimensional variable-coefficient Broer-Kaup system are obtained. These free parameters and arbitrary functions reveal that the (2+1)-dimensional variablecoefficient Broer-Kaup system has rich spatial structures. As an illustrative example, two new spatial structures are shown by setting the arbitrary functions as different Jacobi elliptic functions. Compared with tanh-function method and its extensions, the method proposed in this paper is more powerful and it can be applied to other nonlinear evolution equations.