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Stationary solutions for nonlinear dispersive Schrödinger’s equation

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Abstract

This paper carries out the integration of the nonlinear dispersive Schrödinger’s equation by the aid of Lie group analysis. The stationary solutions are obtained. The two types of nonlinearity that are studied in this paper are power law and dual-power law so that the cases of Kerr law and parabolic law nonlinearity fall out as special cases.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Center for Research and Education in Optical Sciences and Applications, Delaware State University, Dover, DE, 19901-2277, USA

    Anjan Biswas

  2. International Institute for Symmetry Analysis and Mathematical Modeling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X2046, Mmabatho, 2735, Republic of South Africa

    Chaudry Masood Khalique

Authors
  1. Anjan Biswas
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  2. Chaudry Masood Khalique
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Correspondence to Anjan Biswas.

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Biswas, A., Khalique, C.M. Stationary solutions for nonlinear dispersive Schrödinger’s equation. Nonlinear Dyn 63, 623–626 (2011). https://doi.org/10.1007/s11071-010-9824-1

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  • DOI: https://doi.org/10.1007/s11071-010-9824-1

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