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

ATEŞ E., Inc M.

NONLINEAR DYNAMICS, vol.88, no.3, pp.2281-2290, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 88 Issue: 3
  • Publication Date: 2017
  • Doi Number: 10.1007/s11071-017-3376-6
  • Journal Name: NONLINEAR DYNAMICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2281-2290
  • Keywords: Klein-Gordon equation, Jacobi elliptic functions, Solitons, Travelling wave solutions, SOLITON PERTURBATION-THEORY, SPATIOTEMPORAL DISPERSION, OPTICAL SOLITONS, PERIODIC-SOLUTIONS, NONLINEARITY, MEDIA, DARK
  • Karadeniz Technical University Affiliated: Yes

Abstract

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.