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N-fold Backlund transformation for deformed nonlinear Schrödinger equation

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Abstract

We formulate theN-fold Backlund transformation for the deformed nonlinear Schrödinger equation following the idea of Neugebaueret al. Starting with trivial solutions, we construct explicit one-soliton solutions in two distinct cases of deformation from our transformation forN=1. These solitons have space-time-dependent amplitude and velocity.

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Authors and Affiliations

  1. High Energy Physics Division, Department of Physics, Jadavpur University, 700 032, Calcutta, India

    A. Roy Chowdhury & Swapan Kr. Pal

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  1. A. Roy Chowdhury
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  2. Swapan Kr. Pal
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Chowdhury, A.R., Pal, S.K. N-fold Backlund transformation for deformed nonlinear Schrödinger equation. Int J Theor Phys 36, 1021–1031 (1997). https://doi.org/10.1007/BF02435799

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  • DOI: https://doi.org/10.1007/BF02435799

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