Applied Mathematics and Mechanics (English Edition) ›› 2006, Vol. 27 ›› Issue (11): 1549-1555 .doi: https://doi.org/10.1007/s10483-006-1113-1

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BIFURCATIONS OF TRAVELLING WAVE SOLUTIONS FOR GENERALIZED DRINFELD-SOKOLOV EQUATIONS

LONG Yao, RUI Wei-guo, HE Bin, CHEN Can   

  1. Department of Mathematics, Honghe University, Mengzi 661100, Yunnan Province, P. R. China
  • Received:2005-10-09 Revised:2006-08-09 Online:2006-11-18 Published:2006-11-18
  • Contact: LONG Yao

Abstract: Ansatz method and the theory of dynamical systems are used to study the traveling wave solutions for the generalized Drinfeld-Sokolov equations. Under two groups of the parametric conditions, more solitary wave solutions, kink and anti-kink wave solutions and periodic wave solutions are obtained. Exact explicit parametric representations of these travelling wave solutions are given.

Key words: null

2010 MSC Number: 

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