Compactons, solitons and periodic solutions for some forms of nonlinear Klein–Gordon equations. (English) Zbl 1099.35125

Wazwaz, Abdul-Majid

Chaos Solitons Fractals 28, No. 4, 1005-1013 (2006).

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

Keywords:

tanh method; travelling wave solutions

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