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.


35Q53 KdV equations (Korteweg-de Vries equations)
37K40 Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems
35C05 Solutions to PDEs in closed form
Full Text: DOI


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