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Nonlinear Schrödinger equation with complex supersymmetric potentials

  • Physics of Elementary Particles and Atomic Nuclei. Theory
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Abstract

Using the concept of supersymmetry we obtain exact analytical solutions of nonlinear Schrödinger equation with a number of complex supersymmetric potentials and power law nonlinearity. Linear stability of these solutions for self-focusing as well as de-focusing nonlinearity has also been examined.

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Authors and Affiliations

  1. Department of Mathematics, Vivekananda College, Kolkata, 700063, India

    D. Nath

  2. Physics and Applied Mathematics Unit, Indian Statistical Institute, Kolkata, 700108, India

    P. Roy

Authors
  1. D. Nath
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  2. P. Roy
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Correspondence to D. Nath.

Additional information

Talk delivered by D. Nath at the International Workshop, “Supersymmetries & Quantum Symmetries—SQS’2015 at the JINR Bogoliubov Laboratory of Theoretical Physics”, JINR, Dubna, Russia, August 3–8, 2015.

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Nath, D., Roy, P. Nonlinear Schrödinger equation with complex supersymmetric potentials. Phys. Part. Nuclei Lett. 14, 347–356 (2017). https://doi.org/10.1134/S1547477117020236

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