New families of exact soliton-like solutions and dromion solutions to the (2+1)-dimensional higher-order Broer–Kaup equations

Tiecheng Xia and Dengyuan Chen

Chaos, Solitons & Fractals, 2005, vol. 23, issue 4, 1405-1411

Abstract: Using homogeneous balance method we obtain Bäcklund transformation (BT) and a linear partial differential equation of higher-order Broer–Kaup equations. As a result, new soliton-like solutions and new dromion solution and other exact solutions of (2+1)-dimensional higher-order Broer–Kaup equations are given. By analyzing a soliton-like solution, we get some dromions solutions. This method, which can be generalized to some (2+1)-dimensional nonlinear evolution equations, is simple and powerful.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:23:y:2005:i:4:p:1405-1411

DOI: 10.1016/j.chaos.2004.06.043

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