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On classification of soliton solutions of multicomponent nonlinear evolution equations.

Authors :
V S Gerdjikov
D J Kaup
N A Kostov
T I Valchev
Source :
Journal of Physics A: Mathematical & Theoretical. Aug2008, Vol. 41 Issue 31, p315213-315213. 1p.
Publication Year :
2008

Abstract

We consider several ways of how one could classify the various types of soliton solutions related to multicomponent nonlinear evolution equations which are solvable by the inverse scattering method for the generalized Zakharov-Shabat system related to a simple Lie algebra g. In doing so we make use of the fundamental analytic solutions, the Zakharov-Shabat dressing procedure, the reduction technique and other tools characteristic for that method. The multicomponent solitons are characterized by several important factors: the subalgebras of g and the way these subalgebras are embedded in g, the dimension of the corresponding eigensubspaces of the Lax operator L, as well as by additional constraints imposed by reductions. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
17518113
Volume :
41
Issue :
31
Database :
Academic Search Index
Journal :
Journal of Physics A: Mathematical & Theoretical
Publication Type :
Academic Journal
Accession number :
44636914
Full Text :
https://doi.org/10.1088/1751-8113/41/31/315213