4.7 Article

Travelling wave solutions of generalized Klein-Gordon equations using Jacobi elliptic functions

Journal

NONLINEAR DYNAMICS
Volume 88, Issue 3, Pages 2281-2290

Publisher

SPRINGER
DOI: 10.1007/s11071-017-3376-6

Keywords

Klein-Gordon equation; Jacobi elliptic functions; Solitons; Travelling wave solutions

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This paper obtains exact travelling wave solutions of five various forms of the generalized nonlinear Klein-Gordon equations using Jacobi elliptic functions. Topological and non-topological soliton solutions are obtained as well as Jacobi elliptic function solutions. It is acquired constraint conditions for the existence of solitons.

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