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Construction of solitary solution and compacton-like solution by variational iteration method. (English) Zbl 1147.35338
Summary: Variational iteration method is used to construct solitary solutions and compacton-like solutions for nonlinear dispersive equations. The chosen initial solution (trial function) can be in compacton form or in soliton form with some unknown parameters which can be determined in the solution procedure. The compacton-like solution can be converted to solitary solution by suitable choice of a parameter, and vice versa.

MSC:
35Q35PDEs in connection with fluid mechanics
35Q51Soliton-like equations
35A15Variational methods (PDE)