"

Cookies ussage consent

Our site saves small pieces of text information (cookies) on your device in order to deliver better content and for statistical purposes. You can disable the usage of cookies by changing the settings of your browser. By browsing our site without changing the browser settings you grant us permission to store that information on your device.

Optical solitons for nonlinear coupled Klein-Gordon equations

O. GUNER1,* , A. BEKİR2

Affiliation

  1. Cankiri Karatekin University, Faculty of Economics and Administrative Sciences, Department of International Trade, Cankiri-Turkey
  2. 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