Título
Spectral problem for a two-component nonlinear Schrödinger equation in 2+1 dimensions: Singular manifold method and Lie point symmetries
Autor(es)
Palabras clave
Integrability
Lax pair
Lie symmetries
Nonlinear Schrödinger equation
Painleve property
Similarity reductions
Clasificación UNESCO
1202.20 Ecuaciones Diferenciales en derivadas Parciales
Fecha de publicación
2019
Editor
Elsevier
Citación
Albares, P., Conde, J. M., y Estévez, P. G. (2019). Spectral problem for a two-component nonlinear Schrödinger equation in 2 + 1 dimensions: Singular manifold method and Lie point symmetries. Applied Mathematics and Computation, 355, 585-594. https://doi.org/10.1016/j.amc.2019.03.013
Resumen
[EN] An integrable two-component nonlinear Schrödinger equation in 2+1
dimensions is presented. The singular manifold method is applied in order to obtain a three-component Lax pair. The Lie point symmetries of this Lax pair are calculated in terms of nine arbitrary functions and one arbitrary constant that yield a non-trivial infinite-dimensional Lie algebra. The main non-trivial similarity reductions associated to these symmetries are identified. The spectral parameter of the reduced spectral problem appears as a consequence of one of the symmetries.
Descripción
URI
ISSN
0096-3003
DOI
10.1016/j.amc.2019.03.013
Versión del editor
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