Auxiliary equation method and new solutions of Klein-Gordon equations. (English) Zbl 1143.35341

Sirendaoreji

Chaos Solitons Fractals 31, No. 4, 943-950 (2007).

Summary: Many new types of exact solutions of an auxiliary ordinary differential equation are introduced. They are used to generate new exact travelling wave solutions of the quadratic and the cubic nonlinear Klein-Gordon equations. This approach is also applicable to a large variety of nonlinear partial differential equations.

MSC:

35L70	Second-order nonlinear hyperbolic equations
35C05	Solutions to PDEs in closed form

Keywords:

quadratic and cubic nonlinearities; exact travelling wave solutions

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