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Analytic solutions of a (2 + 1)‐dimensional variable‐coefficient Broer–Kaup system
Author(s) -
Zhang Sheng,
Ba JinMei,
Sun YingNa,
Dong Ling
Publication year - 2010
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1343
Subject(s) - variable coefficient , mathematics , variable (mathematics) , hyperbolic function , elliptic function , mathematical analysis , function (biology) , riccati equation , nonlinear system , differential equation , physics , quantum mechanics , evolutionary biology , biology
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 variable‐coefficient 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. Copyright © 2010 John Wiley & Sons, Ltd.