Three Coupled Nonlinear Schrödinger Equations for Two Transverse and One Langmuir Waves and the Stability of Their Solitary Wave Solutions

1985 ◽  
Vol 25 (1) ◽  
pp. 9-17 ◽  
Author(s):  
J. C. Bhakta ◽  
D. Majumder
Keyword(s):  
Solitary Wave ◽  
Nonlinear Schrödinger Equations ◽  
Schrödinger Equations ◽  
Solitary Wave Solutions ◽  
Coupled Nonlinear Schrödinger Equations ◽  
Langmuir Waves ◽  
Nonlinear Schrödinger ◽  
Wave Solutions ◽  
Nonlinear Schrodinger Equations ◽  
The Stability

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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