A new method of generating of traveling wave solutions for coupled nonlinear equations

  • Shanyu Ding
  • Yin Jiuli Jiangsu Univ., China
  • Tian Lixin Jiangsu Univ., China
  • Fan Xinghua Jiangsu Univ., China

Abstract

A new algebraic transformation method is constructed for finding traveling-wave solutions of complicated nonlinear wave equations on the basis of simpler ones. The generalized Dullin - Gottwald - Holm (DGH) equation and mKdV equations are chosen to illustrate our method. The solutions of the DGH equation can be obtained directly from solutions of the mKdV equation. Conditions under which different solutions appear are also given. Abundant traveling-wave solutions of the generalized DGH equation are obtained, including periodic solutions, smooth solutions with decay, solitary solutions, and kink solutions.
Published
25.10.2012
How to Cite
DingS., JiuliY., LixinT., and XinghuaF. “A New Method of Generating of Traveling Wave Solutions for Coupled Nonlinear Equations”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 64, no. 10, Oct. 2012, pp. 1365-72, http://umj.imath.kiev.ua/index.php/umj/article/view/2664.
Section
Research articles