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Auxiliary equation method and new solutions of Klein-Gordon equations. (English) Zbl 1143.35341
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 Nonlinear second-order hyperbolic equations 35C05 Solutions of PDE in closed form
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##### References:
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