Classical Lie symmetries and reductions for a generalized NLS equation in 2+1 dimensions

P. Albares; J. M. Conde; P. G. Estévez

doi:10.1080/14029251.2017.1418053

Classical Lie symmetries and reductions for a generalized NLS equation in 2+1 dimensions

P. Albares
, J. M. Conde
, P. G. Estévez^*

^*Corresponding author for this work

Universidad San Francisco de Quito USFQ

Universidad de Salamanca

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

A non-isospectral linear problem for an integrable 2+1 generalization of the non linear Schrödinger equation, which includes dispersive terms of third and fourth order, is presented. The classical symmetries of the Lax pair and the related reductions are carefully studied. We obtain several reductions of the Lax pair that yield in some cases non-isospectral problems in 1+1 dimensions.

Original language	English
Pages (from-to)	48-60
Number of pages	13
Journal	Journal of Nonlinear Mathematical Physics
Volume	24
DOIs	https://doi.org/10.1080/14029251.2017.1418053
State	Published - 21 Dec 2017

Keywords

Lax pair
Lie symmetries
similarity reductions

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10.1080/14029251.2017.1418053

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title = "Classical Lie symmetries and reductions for a generalized NLS equation in 2+1 dimensions",

abstract = "A non-isospectral linear problem for an integrable 2+1 generalization of the non linear Schr{\"o}dinger equation, which includes dispersive terms of third and fourth order, is presented. The classical symmetries of the Lax pair and the related reductions are carefully studied. We obtain several reductions of the Lax pair that yield in some cases non-isospectral problems in 1+1 dimensions.",

keywords = "Lax pair, Lie symmetries, similarity reductions",

author = "P. Albares and Conde, \{J. M.\} and Est{\'e}vez, \{P. G.\}",

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doi = "10.1080/14029251.2017.1418053",

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AU - Albares, P.

AU - Conde, J. M.

AU - Estévez, P. G.

PY - 2017/12/21

Y1 - 2017/12/21

N2 - A non-isospectral linear problem for an integrable 2+1 generalization of the non linear Schrödinger equation, which includes dispersive terms of third and fourth order, is presented. The classical symmetries of the Lax pair and the related reductions are carefully studied. We obtain several reductions of the Lax pair that yield in some cases non-isospectral problems in 1+1 dimensions.

AB - A non-isospectral linear problem for an integrable 2+1 generalization of the non linear Schrödinger equation, which includes dispersive terms of third and fourth order, is presented. The classical symmetries of the Lax pair and the related reductions are carefully studied. We obtain several reductions of the Lax pair that yield in some cases non-isospectral problems in 1+1 dimensions.

KW - Lax pair

KW - Lie symmetries

KW - similarity reductions

UR - https://www.scopus.com/pages/publications/85040022734

U2 - 10.1080/14029251.2017.1418053

DO - 10.1080/14029251.2017.1418053

M3 - Artículo

AN - SCOPUS:85040022734

SN - 1402-9251

VL - 24

SP - 48

EP - 60

JO - Journal of Nonlinear Mathematical Physics

JF - Journal of Nonlinear Mathematical Physics

ER -

Classical Lie symmetries and reductions for a generalized NLS equation in 2+1 dimensions

Abstract

Keywords

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