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    • Spatiotemporal soliton clusters in the $(3+1)$-dimensional nonlinear Schrödinger equation with spatially modulated nonlinearity

      HONG-YU WU LI-HONG JIANG

      Research Article Volume 89 Issue 3 September 2017 Article ID 0040

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/089/03/0040

    • Keywords

       

      Nonlinear Schrödinger equation; spatially modulated nonlinearity; Gaussian soliton; vortex soliton; multipole soliton

    • Abstract

       

      From a generic transformation, a $(3+1)$-dimensional nonlinear Schrödinger equation with spatially modulated nonlinearity is studied and exact spatiotemporal soliton cluster solutions are derived. When the azimuthal parameter $m = 0$, Gaussian solitons are constructed. For the modulation depth $q = 1$ and the azimuthal parameter $m \neq 0$, vortex solitons are obtained. In the limit $q = 0$ and $m \neq 0$, and for some specific values of the parameters $(m, l)$, multipole solitons are presented.

    • Author Affiliations

       

      HONG-YU WU1 LI-HONG JIANG1

      1. College of Engineering and Design, Lishui University, Lishui 323000, Zhejiang, China

    • Dates

       
      Published
      19 September 2017
      Manuscript received
      11 January 2017
      Manuscript revised
      18 March 2017
      Accepted
      6 April 2017
      Early published
      Unedited version published online
      Final version published online
      16 August 2017

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