Analytic solutions of a (2 + 1)-dimensional variable-coefficient Broer-Kaup system

摘要

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.