Spectral problem for a two-component nonlinear Schrödinger equation in 2+1 dimensions: Singular manifold method and Lie point symmetries

作者：

Highlights：

• Singular manifold method to a 2+1 two component NLS equation.

• Derivation of the associated spectral problem.

• Identification of the Lie point symmetries for the spectral problem.

• Similarity reductions for the system and the spectral problem.

摘要

•Singular manifold method to a 2+1 two component NLS equation.•Derivation of the associated spectral problem.•Identification of the Lie point symmetries for the spectral problem.•Similarity reductions for the system and the spectral problem.

论文关键词：Integrability,Lax pair,Lie symmetries,Nonlinear Schrödinger equation,Painleve property,Similarity reductions

论文评审过程：Received 24 July 2018, Accepted 4 March 2019, Available online 27 March 2019, Version of Record 27 March 2019.

论文官网地址：https://doi.org/10.1016/j.amc.2019.03.013