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Chinese Physics, 2004, Vol. 13(7): 984-987    DOI: 10.1088/1009-1963/13/7/002
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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.
Keywords:  (2+1)-dimensional modified dispersive water-wave system      generalized tanh-function method      soliton-like solutions  
Received:  28 October 2003      Revised:  27 February 2004      Accepted manuscript online: 
PACS:  02.30.Jr (Partial differential equations)  
  03.75.Lm (Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)  
  02.30.Hq (Ordinary differential equations)  
  45.05.+x (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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