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Painléve Analysis and Backlund Transformations for Coupled Generalized Schrödinger–Boussinesq System

✍ Scribed by A.Roy Chowdhury; N.N. Rao

Book ID
104363827
Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
191 KB
Volume
9
Category
Article
ISSN
0960-0779

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✦ Synopsis

Painle ve analysis of coupled generalized Schro à dingerÐBoussinesq system with arbitrary par! ameters has been carried out[ We identify two branches of leading singularities in the Painle ve formalism for PDEs as developed by Weiss et al[\ ðJ[ Math[ Phys\ 13\ 411 "0872#Ł[ The coupled system is shown to be completely integrable in one of the branches\ for which case the associated Ba Ãcklund transformation is explicitly given[ Relevance of the results for coupled nonlinear wave propagation in magnetized plasmas is pointed out[

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