Optical solitons for nonlinear coupled Klein-Gordon equations
O. GUNER1,*
,
A. BEKİR2
Affiliation
- Cankiri Karatekin University, Faculty of Economics and Administrative Sciences, Department of International Trade, Cankiri-Turkey
- Eskisehir Osmangazi University, Art-Science Faculty, Department of Mathematics and Computer Science, Eskisehir-Turkey
Abstract
In this paper, we obtained the 1-soliton solution of the coupled, two coupled and three coupled nonlinear Klein-Gordon
equations. By using ansatz method, we found exact analytical bright and dark optical soliton solutions for the considered
models. As a result, exact solutions with amplitude, inverse width, velocity and free parameters are obtained. The power of
this manageable method is presented by applying it to several examples. This approach can also be applied to other nonlinear
differential equations system..
Keywords
Optical solitons, integrability, Coupled nonlinear Klein-Gordon equations, Ansatz method.
Citation
O. GUNER, A. BEKİR, Optical solitons for nonlinear coupled Klein-Gordon equations, Optoelectronics and Advanced Materials - Rapid Communications, 9, 3-4, March-April 2015, pp.332-343 (2015).
Submitted at: Feb. 17, 2015
Accepted at: March 19, 2015