scholarly journals Kac-Moody groups and integrability of soliton equations

1995 ◽  
Vol 120 (1) ◽  
pp. 379-408 ◽  
Author(s):  
Boris Feigin ◽  
Edward Frenkel
Keyword(s):  
Soliton Equations

Soliton Equations and their Algebro-Geometric Solutions

2008 ◽  
Author(s):  
Fritz Gesztesy ◽  
Helge Holden ◽  
Johanna Michor ◽  
Gerald Teschl
Keyword(s):  
Soliton Equations ◽  
Geometric Solutions

scholarly journals Kac-moody lie algebras and soliton equations

1983 ◽  
Vol 9 (3) ◽  
pp. 324-332 ◽  
Author(s):  
H. Flaschka ◽  
A.C. Newell ◽  
T. Ratiu
Keyword(s):  
Lie Algebras ◽  
Soliton Equations

scholarly journals Vector Solitons of a Coupled Schrödinger System with Variable Coefficients

2016 ◽  
Vol 2016 ◽  
pp. 1-19 ◽  
Author(s):  
Juan Carlos Muñoz Grajales
Keyword(s):  
Numerical Simulations ◽  
Finite Energy ◽  
Variable Coefficients ◽  
Soliton Equations ◽  
Nonlinear Schrödinger ◽  
Coupled Schrödinger System ◽  
Nonlinear Schrödinger System ◽  
Schrödinger System

We show the existence of waveforms of finite-energy (vector solitons) for a coupled nonlinear Schrödinger system with inhomogeneous coefficients. Furthermore, some of these solutions are approximated using a Newton-type iteration, combined with a collocation-spectral strategy to discretize the corresponding soliton equations. Some numerical simulations concerned with analysis of a collision of two oncoming vector solitons of the system are also performed.

On the Hirota Representation of Soliton Equations with One Tau-Function

2001 ◽  
Vol 70 (3) ◽  
pp. 605-608 ◽  
Author(s):  
Franklin Lambert ◽  
Ignace Loris ◽  
Johan Springael ◽  
Ralph Willox
Keyword(s):  
Tau Function ◽  
Soliton Equations
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