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Compactons, solitons and periodic solutions for some forms of nonlinear Klein--Gordon equations. (English) Zbl 1099.35125
Summary: The nonlinear Klein-Gordon equations with power law nonlinearities are studied. The tanh method is used for analytic treatment of these equations. The analysis leads to travelling wave solutions with compactons, solitons, solitary patterns and periodic structures.

MSC:
 35Q53 KdV-like (Korteweg-de Vries) equations 37K40 Soliton theory, asymptotic behavior of solutions 35C05 Solutions of PDE in closed form
Full Text:
References:
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