Derivative non-linear Schrödinger equation: Singular manifold method and Lie symmetries

作者：

Highlights：

• Integrability and Painlevé Property.

• Singular manifold method applied to the derivative non-linear Schrödinger equation to obtain the associated Lax pair.

• Binary Darboux transformations to derive rational soliton solutions.

• Identification of the Lie point symmetries, Lie algebra and similarity reductions for the system and the spectral problem.

摘要

•Integrability and Painlevé Property.•Singular manifold method applied to the derivative non-linear Schrödinger equation to obtain the associated Lax pair.•Binary Darboux transformations to derive rational soliton solutions.•Identification of the Lie point symmetries, Lie algebra and similarity reductions for the system and the spectral problem.

论文关键词：Integrability,Derivative non-linear Schrödinger equation,Singular manifold method,Lax pair,Darboux transformations,Rational solitons,Lie symmetries,Similarity reductions

论文评审过程：Received 19 October 2020, Accepted 4 February 2021, Available online 23 February 2021, Version of Record 23 February 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126089