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Variational approach to solitons of nonlinear dispersive K(m,n) equations. (English) Zbl 1143.35361
Summary: Via He’s semi-inverse method, a variational principle is established for the nonlinear dispersive K(m,n) equations. Based on this formulation, a solitary solution can be easily obtained using Ritz method. The present paper provides a new approach to the search of wave solutions including solitions, compactons and periodic solutions.
MSC:
35Q53KdV-like (Korteweg-de Vries) equations
35Q51Soliton-like equations
35A15Variational methods (PDE)