Decomposition method for the Camassa-Holm equation

作者:Kamdem J Sadefo; Qiao Zhijun*
来源:Chaos Solitons & Fractals, 2007, 31(2): 437-447.
DOI:10.1016/j.chaos.2005.09.071

摘要

The Adomian decomposition method is applied to the Camassa-Holm equation. Approximate solutions are obtained for three smooth initial values. These solutions are weak solutions with some peaks. We plot those approximate solutions and find that they are very similar to the peaked soliton solutions. Also, one single and two anti-peakon approximate solutions are presented. Compared with the existing method, our procedure just works with the polynomial and algebraic computations for the CH equation.

  • 出版日期2007-1