Analytic solutions of a (2 + 1)‐dimensional variable‐coefficient Broer–Kaup system
Analytic solutions of a (2 + 1)‐dimensional variable‐coefficient Broer–Kaup system
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DOI：
10.1002/mma.1343
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发表时间：
2011-01
影响因子：
2.9
通讯作者：
Sheng Zhang;Jin-Mei Ba;Yingcheng Sun;Ling Dong
中科院分区：
文献类型：
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作者：
Sheng Zhang;Jin-Mei Ba;Yingcheng Sun;Ling Dong
基于 Riccati 方程及其由 Exp 函数方法构造的新广义孤立解之一，获得了 (2 + 1) 维变系数 Broer-Kaup 系统的具有自由参数和任意函数的新解析解。这些自由参数和任意函数揭示了(2+1)维变系数Broer-Kaup系统具有丰富的空间结构。作为说明性示例，通过将任意函数设置为不同的雅可比椭圆函数来显示两种新的空间结构。与tanh函数方法及其扩展相比，本文提出的方法更加强大，并且可以应用于其他非线性演化方程。版权所有 © 2010 约翰威利父子有限公司
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.