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The tanh method: exact solutions of the sine-Gordon and the sinh-Gordon equations. (English) Zbl 1082.65585
Summary: We use the tanh method for traveling wave solutions of the sine-Gordon and the sinh-Gordon equations. Several exact solutions of distinct physical structures are obtained. The method is powerful with minimal algebra work and is demonstrated for four models.
MSC:
65M70Spectral, collocation and related methods (IVP of PDE)
35Q53KdV-like (Korteweg-de Vries) equations
37K10Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies