Abstract In this paper, based on hyperbolic tanh-function method and homogeneous balance method, and auxiliary equation method, some new exact solitary solutions to the generalized mKdV equation and generalized Zakharov--Kuzentsov equation are constructed by the method of auxiliary equation with function transformation with aid of symbolic computation system Mathematica. The method is of important significance in seeking new exact solutions to the evolution equation with arbitrary nonlinear term.
Received: 08 December 2005
Revised: 06 February 2006
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of
China (Grant No 10461006),
the High Education Science Research Program (Grant No NJ02035)
of Inner Mongolia Autonomous Region, Natural Science Foundation
of Inner Mongolia Autonomous Region (Grant No 2004080201103) and the Youth Research Program of Inner
Mongolia Normal University (Grant No QN005023).
Cite this article:
Taogetusang (套格图桑), Sirendaoreji New exact solitary wave solutions to generalized mKdV equation and generalized Zakharov--Kuzentsov equation 2006 Chinese Physics 15 1143
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