On the stability of solitary-wave solutions of model equations for long waves

1994 ◽  
Vol 4 (1) ◽  
pp. 449-470 ◽  
Author(s):  
J. L. Bona ◽  
A. Soyeur
Keyword(s):  
Solitary Wave ◽  
Long Waves ◽  
Solitary Wave Solutions ◽  
Wave Solutions ◽  
Model Equations ◽  
The Stability

Quasi-soliton and other behaviour of the nonlinear cubic-quintic Schrödinger equation

1986 ◽  
Vol 64 (3) ◽  
pp. 311-315 ◽  
Author(s):  
Stuart Cowan ◽  
R. H. Enns ◽  
S. S. Rangnekar ◽  
Sukhpal S. Sanghera
Keyword(s):  
Solitary Wave ◽  
Schrödinger Equation ◽  
Parameter Space ◽  
Schrodinger Equation ◽  
Solitary Wave Solutions ◽  
Wave Interactions ◽  
Wave Solutions ◽  
The Stability

The stability of the solitary-wave solutions of the nonlinear cubic–quintic Schrödinger equation (NLCQSE) is examined numerically. The solutions are found not to be solitons, but quasi-soliton behaviour is found to persist over wide regions of parameter space. Outside these regions dispersive and explosive behaviour is observed in solitary-wave interactions.

Sign in / Sign up

Export Citation Format

Share Document