Integrable Variable-coefficient Coupled Cylindrical NLS Equations and Their Explicit Solutions

Based on the generalized dressing method, we propose integrable variable coefficient coupled cylin-drical nonlinear SchrSdinger equations and their Lax pairs. As applications, their explicit solutions and their reductions are constructed.

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Bibliographic Details
Published in	Acta Mathematicae Applicatae Sinica Vol. 30; no. 4; pp. 1017 - 1024
Main Authors	Su, Ting, Ding, Guo-hua, Fang, Jian-yin
Format	Journal Article
Language	English
Published	Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2014
Subjects	Applications of Mathematics Lax对 Math Applications in Computer Science Mathematical and Computational Physics Mathematics Mathematics and Statistics NLS方程 Theoretical 变系数可积圆柱精确解耦合非线性 variable-coefficient coupled NLS equations 45Gxx the generalized dressing method integrability 35Dxx
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ISSN	0168-9673 1618-3932
DOI	10.1007/s10255-014-0439-z

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Summary:	Based on the generalized dressing method, we propose integrable variable coefficient coupled cylin-drical nonlinear SchrSdinger equations and their Lax pairs. As applications, their explicit solutions and their reductions are constructed.
Bibliography:	11-2041/O1 variable-coefficient coupled NLS equations; the generalized dressing method; integrability Based on the generalized dressing method, we propose integrable variable coefficient coupled cylin-drical nonlinear SchrSdinger equations and their Lax pairs. As applications, their explicit solutions and their reductions are constructed.
ISSN:	0168-9673 1618-3932
DOI:	10.1007/s10255-014-0439-z