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Sirendaoreji

A new auxiliary equation and exact travelling wave solutions of nonlinear equations. (English) Zbl 1160.35527

Phys. Lett., A 356, No. 2, 124-130 (2006).
Summary: A new auxiliary ordinary differential equation and its solutions are used for constructing exact travelling wave solutions of nonlinear partial differential equations in a unified way. The main idea of this method is to take full advantage of the auxiliary equation which has more new exact solutions. More new exact travelling wave solutions are obtained for the quadratic nonlinear Klein-Gordon equation, the combined KdV and mKdV equation, the sine-Gordon equation and the Whitham-Broer-Kaup equations.

Cited in 1 Review
Cited in 56 Documents

MSC:

35Q53 KdV equations (Korteweg-de Vries equations)

Keywords:

auxiliary equation; travelling wave solution; nonlinear equation
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\textit{Sirendaoreji}, Phys. Lett., A 356, No. 2, 124--130 (2006; Zbl 1160.35527)
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