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

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: Applied Mathematics and Computation

سال: 2021

ISSN: ['1873-5649', '0096-3003']

DOI: https://doi.org/10.1016/j.amc.2021.126089