The soliton-like solutions to the (2+1)-dimensional modified dispersive water-wave system
Li De-Sheng (李德生)ab, Zhang Hong-Qing (张鸿庆)a
a Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China; b Science School, Shenyang University of Technology, Shenyang 110023, China
Abstract By a simple transformation, we reduce the (2+1)-dimensional modified dispersive water-wave system to a simple nonlinear partial differential equation. In order to solve this equation by generalized tanh-function method, we only need to solve a simple system of first-order ordinary differential equations, and by doing so we can obtain many new soliton-like solutions which include the solutions obtained by using the conventional tanh-function method.
Received: 28 October 2003
Revised: 27 February 2004
Accepted manuscript online:
(General theory of classical mechanics of discrete systems)
Fund: Project supported by the National Key Basic Research Special Foundation of China (Grant No 1998030600) and the National Natural Science Foundation of China (Grant No 10072013).
Cite this article:
Li De-Sheng (李德生), Zhang Hong-Qing (张鸿庆) The soliton-like solutions to the (2+1)-dimensional modified dispersive water-wave system 2004 Chinese Physics 13 984
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