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^*

^*Autor correspondiente de este trabajo

Universidad San Francisco de Quito USFQ

Universidad de Salamanca

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

1 Cita (Scopus)

Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	48-60
Número de páginas	13
Publicación	Journal of Nonlinear Mathematical Physics
Volumen	24
DOI	https://doi.org/10.1080/14029251.2017.1418053
Estado	Publicada - 21 dic 2017

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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

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