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

ATEŞ, ESMA; Inc, Mustafa

doi:10.1007/s11071-017-3376-6

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

ATEŞ E., Inc M.

NONLINEAR DYNAMICS, cilt.88, sa.3, ss.2281-2290, 2017 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 88 Sayı: 3
Basım Tarihi: 2017
Doi Numarası: 10.1007/s11071-017-3376-6
Dergi Adı: NONLINEAR DYNAMICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.2281-2290
Anahtar Kelimeler: Klein-Gordon equation, Jacobi elliptic functions, Solitons, Travelling wave solutions, SOLITON PERTURBATION-THEORY, SPATIOTEMPORAL DISPERSION, OPTICAL SOLITONS, PERIODIC-SOLUTIONS, NONLINEARITY, MEDIA, DARK
Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

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.