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Albares Vicente, Paz Conde, J.M García Estévez, Pilar 2026-02-19T07:30:27Z 2026-02-19T07:30:27Z 2019 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 0096-3003 http://hdl.handle.net/10366/169892 10.1016/j.amc.2019.03.013 [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. eng http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess Attribution-NonCommercial-NoDerivatives 4.0 Internacional Integrability Lax pair Lie symmetries Nonlinear Schrödinger equation Painleve property Similarity reductions Spectral problem for a two-component nonlinear Schrödinger equation in 2+1 dimensions: Singular manifold method and Lie point symmetries info:eu-repo/semantics/article