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

• # Fulltext

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

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

• # Pramana – Journal of Physics

Volume 96, 2022
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019