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

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    • 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



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

  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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