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Integrability and Lie symmetry analysis of deformed \({\varvec{N}}\)-coupled nonlinear Schrödinger equations

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Abstract

A systematic investigation to derive the Lax pair and group theoretical properties of deformed N-coupled nonlinear Schrödinger equations (N-coupled NLS) is presented. Exploiting the obtained Lie point symmetries, the corresponding similarity reductions for \(N =1\) and \(N = 2\) are derived separately and show that each of them passes the Painlevé property of ordinary differential equations. Exact solution of deformed coupled NLS equations is also derived wherever possible.

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Authors and Affiliations

  1. Department of Mathematics, C. Abdul Hakeem College (Autonomous), Melvisharam, Vellore Dt, Tamilnadu, 632509, India

    S. Suresh Kumar

  2. Department of Mathematics, Islamiah College (Autonomous), Vaniyambadi, Tamilnadu, 635 752, India

    S. Balakrishnan

  3. Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chepauk, Chennai, Tamilnadu, 600 005, India

    R. Sahadevan

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  1. S. Suresh Kumar
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  2. S. Balakrishnan
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  3. R. Sahadevan
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Correspondence to R. Sahadevan.

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Suresh Kumar, S., Balakrishnan, S. & Sahadevan, R. Integrability and Lie symmetry analysis of deformed \({\varvec{N}}\)-coupled nonlinear Schrödinger equations. Nonlinear Dyn 90, 2783–2795 (2017). https://doi.org/10.1007/s11071-017-3837-y

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  • DOI: https://doi.org/10.1007/s11071-017-3837-y

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