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A computational approach to soliton solutions of the Kadomtsev-Petviashvili equation. (English) Zbl 1024.65098
Summary: We present a computational approach to develop soliton solutions of the nonlinear Kadomtsev-Petviashvili equation. Our approach rests mainly on the Adomian decomposition method to include few components of the decomposition series. The proposed framework is presented in a general way so that it can be used in nonlinear evolution equations of the same type. Numerical examples are tested to illustrate the proposed scheme.

65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
35K90 Abstract parabolic equations
35Q51 Soliton equations
35Q53 KdV equations (Korteweg-de Vries equations)
Full Text: DOI
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