a Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China; b College of Education Science and Technology, Zhejiang Normal University, Jinhua 321004, China
Abstract Using the extended homogeneous balance method, the (1+1)-dimensional dispersive long-wave equations have been solved. Starting from the homogeneous balance method, we have obtained a nonlinear transformation for simplifying a dispersive long-wave equation into a linear partial differential equation. Usually, we can obtain only a type of soliton-like solution. In this paper, we have further found some new multi-soliton solutions and exact travelling solutions of the dispersive long-wave equations from the linear partial equation.
Received: 15 August 2001
Revised: 27 January 2002
Accepted manuscript online:
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