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Exact solutions for the generalized sine-Gordon and the generalized sinh-Gordon equations. (English) Zbl 1088.35544

Summary: The reliable tanh method is used to handle the generalized sine-Gordon and the generalized sinh-Gordon equations. Families of exact travelling wave solutions are formally derived. The method requires minimal algebra work and the obtained results include the solutions derived in others’ works.

MSC:

35Q53 KdV equations (Korteweg-de Vries equations)
35C05 Solutions to PDEs in closed form
35Q51 Soliton equations
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