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Dromion and other exact solutions of (2+1)-dimensional dispersive long water equations

2004; Elsevier BV; Volume: 22; Issue: 3 Linguagem: Inglês

10.1016/j.chaos.2004.02.016

1873-2887

Tiecheng Xia, Deng-yuan Chen,

Algebraic structures and combinatorial models

Using homogenous balance method we obtain Bäcklund transformation (BT) and a linear partial differential equation of (2+1)-dimensional dispersive long water equations (DLWE). As a result, multisoliton and single soliton and other exact solutions of (2+1)-dimensional DLWE are obtained. By analyzing single soliton solution, we get some dromions solutions. This method, which can be generalized to some (2+1)-dimensional nonlinear evolution equations, is simple and powerful.