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Xu, Lan

Variational approach to solitons of nonlinear dispersive \(K(m, n)\) equations. (English) Zbl 1143.35361

Chaos Solitons Fractals 37, No. 1, 137-143 (2008).
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.

Cited in 30 Documents

MSC:

35Q53 KdV equations (Korteweg-de Vries equations)
35Q51 Soliton equations
35A15 Variational methods applied to PDEs

Keywords:

He’s semi-inverse method; Ritz method; \(K(m,n)\) equations
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\textit{L. Xu}, Chaos Solitons Fractals 37, No. 1, 137--143 (2008; Zbl 1143.35361)
Full Text: DOI

References:

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