Solution and stability analysis of coupled nonlinear Schrodinger equations

Subject Areas : Applied Mathematics

M. Shahmansouri ¹ (Physics Department, Islamic Azad University, Arak Branch, Arak P.O. Box 38135-567, Iran.)
B. Farrokhi ² (Physics Department, Arak University, Arak P.O. Box 38156-879, Iran.)

Received: 2011-11-02 Accepted : 2012-02-17 Published : 2014-05-01

Keywords:

Abstract :

We consider a new type of integrable coupled nonlinear Schrodinger (CNLS)equations proposed by our self [submitted to Phys. Plasmas (2011)]. The explicitform of soliton solutions are derived using the Hirota's bilinear method.We show that the parameters in the CNLS equations only determine the regionsfor the existence of bright and dark soliton solutions. Finally, throughthe linear stability analysis, the modulational instability condition is given.

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