Decomposition method for the Camassa–Holm equation

Jules Sadefo Kamdem and Zhijun Qiao
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Zhijun Qiao: UTPA - University of Texas-Pan American - University of Texas-Pan

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Abstract: 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.

Date: 2007-01
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Published in Chaos, Solitons & Fractals, 2007, 31 (2), pp.437-447. ⟨10.1016/j.chaos.2005.09.071⟩

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Journal Article: Decomposition method for the Camassa–Holm equation (2007)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-02938583

DOI: 10.1016/j.chaos.2005.09.071

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