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Solving solitary waves with discontinuity by means of the homotopy analysis method. (English) Zbl 1071.76009
Summary: An analytic method, namely the homotopy analysis method, is applied to solve solitary waves governed by Camassa-Holm equation. Purely analytic solutions are given for soliton waves with and without continuity at crest. This provides with a new analytic approach to solve soliton waves with discontinuity.

76B25 Solitary waves for incompressible inviscid fluids
76M25 Other numerical methods (fluid mechanics) (MSC2010)
35Q51 Soliton equations
Full Text: DOI
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