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

作者：Zhang Sheng^*; Ba Jin Mei; Sun Ying Na; Dong Ling

来源：Mathematical Methods in the Applied Sciences, 2011, 34(2): 160-167.

DOI：10.1002/mma.1343

• nonlinear evolution equations
• generalized solitary solutions
• hyperbolic function solutions
• trigonometric function solutions

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.

• 出版日期2011-1-30
• 单位渤海大学