Open Access
VOL. 6 | 2005 On the Multi-Component NLS Type Equations on Symmetric Spaces: Reductions and Soliton Solutions
Georgi G. Grahovski, Vladimir S. Gerdjikov, Nikolay A. Kostov

Editor(s) Ivaïlo M. Mladenov, Allen C. Hirshfeld

Geom. Integrability & Quantization, 2005: 203-217 (2005) DOI: 10.7546/giq-6-2005-203-217


The fundamental properties of the multi-component nonlinear Schrödinger (MNLS) type models related to symmetric spaces are analyzed. New types of reductions of these systems are constructed. The Lax operators $L$ and the corresponding recursion operators $\Lambda$ are used to formulate some of the fundamental properties of the MNLS-type equations. The results are illustrated by specific examples of MNLS-type systems related to the D.III symmetric space for the $\mathfrak{so}(8)$-algebra. The effect of the reductions on their soliton solutions is outlined.


Published: 1 January 2005
First available in Project Euclid: 12 June 2015

zbMATH: 1079.53075
MathSciNet: MR2161767

Digital Object Identifier: 10.7546/giq-6-2005-203-217

Rights: Copyright © 2005 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences


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