DECOMPOSITION METHOD FOR CAMASSA-HOLM EQUATION

Jules Sadefo Kamdem (1) , Zhijun Qiao (2)

1 LMR - Laboratoire de Mathématiques de Reims
2 Département de Mathématiques (Evry)

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. 2005 Elsevier Ltd. All rights reserved

Mots clés: Camassa-Holm equation; Adomian decomposition method

Domaines: Equations aux dérivées partielles [math.AP]

Jules Sadefo Kamdem, Zhijun Qiao. DECOMPOSITION METHOD FOR CAMASSA-HOLM EQUATION. Chaos, Solitons & Fractals, 2005, xxxx, ⟨10.1016/j.chaos.2005.09.071⟩. ⟨hal-00004557v4⟩