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

Author

Listed:
  • Albares, P.
  • G Estévez, P.
  • Lejarreta, J.D.

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.

Suggested Citation

  • Albares, P. & G Estévez, P. & Lejarreta, J.D., 2021. "Derivative non-linear Schrödinger equation: Singular manifold method and Lie symmetries," Applied Mathematics and Computation, Elsevier, vol. 400(C).
    • Handle: RePEc:eee:apmaco:v:400:y:2021:i:c:s0096300321001375
    DOI: 10.1016/j.amc.2021.126089
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