Solution and stability analysis of coupled nonlinear Schrodinger equations
محورهای موضوعی : 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.)
کلید واژه: Stability, Nonlinear Equations, Nonlinear Schrodinger equation,
چکیده مقاله :
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.
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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