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Special forms of the fifth-order KdV equation with new periodic and soliton solutions. (English) Zbl 1122.65393

Summary: We consider two special forms of the fifth-order Korteweg-de Vries (KdV) equation that are of particular significance: the Lax and Sawada-Koterra equations. Using a generalization of extended tanh method, new periodic and soliton solutions for this equations are formally obtained.

MSC:

65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
35Q51 Soliton equations
35Q53 KdV equations (Korteweg-de Vries equations)
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