On solitary wave solutions to the nonlinear Schrödinger equations with two parameters

2014 ◽  
Vol 287 (8-9) ◽  
pp. 1057-1070
Author(s):  
Fanglei Wang ◽  
Yukun An
Keyword(s):  
Solitary Wave ◽  
Nonlinear Schrödinger Equations ◽  
Schrodinger Equations ◽  
Schrödinger Equations ◽  
Solitary Wave Solutions ◽  
Nonlinear Schrödinger ◽  
Wave Solutions ◽  
Nonlinear Schrodinger Equations ◽  
Two Parameters

Stability of solitary wave solutions of simultaneous nonlinear Schrödinger equations

1982 ◽  
Vol 28 (3) ◽  
pp. 379-383 ◽  
Author(s):  
J. C. Bhakta ◽  
M. R. Gupta
Keyword(s):  
Solitary Wave ◽  
Nonlinear Schrödinger Equations ◽  
Schrodinger Equations ◽  
Schrödinger Equations ◽  
Solitary Wave Solutions ◽  
Nonlinear Schrödinger ◽  
Wave Solutions ◽  
Nonlinear Schrodinger Equations ◽  
Different Types ◽  
The Stability

The stability of localized solitary wave solutions of simultaneous nonlinear Schrödinger equations describing different types of interacting waves in a plasma has been investigated. It is found that the stability depends on the nature and strength of the interaction potential between the two waves. The possible results of interactions between two colliding solitary waves have been discussed using the conservation laws.

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