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

P. Albares, P. G Estévez and J.D. Lejarreta

Applied Mathematics and Computation, 2021, vol. 400, issue C

Abstract: We present a generalized study and characterization of the integrability properties of the derivative non-linear Schrödinger equation in 1+1 dimensions. A Lax pair is derived for this equation by means of a Miura transformation and the singular manifold method. This procedure, together with the Darboux transformations, allow us to construct a wide class of rational soliton-like solutions. Clasical Lie symmetries have also been computed and similarity reductions have been analyzed and discussed.

Keywords: Integrability; Derivative non-linear Schrödinger equation; Singular manifold method; Lax pair; Darboux transformations; Rational solitons; Lie symmetries; Similarity reductions (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:400:y:2021:i:c:s0096300321001375

DOI: 10.1016/j.amc.2021.126089

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