Localized spatial soliton excitations in (2 + 1)-dimensional nonlinear schrödinger equation with variable nonlinearity and an external potential

Wei Ping Zhong*, Milivoj R. Belić, Huang Ting-Wen

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

We report on the localized spatial soliton excitations in the multidimensional nonlinear Schrödinger equation with radially variable nonlinearity coefficient and an external potential. By using Hirota's binary differential operators, we determine a variety of external potentials and nonlinearity coefficients that can support nonlinear localized solutions of different but desired forms. For some specific external potentials and nonlinearity coefficients, we discuss features of the corresponding (2+1)-dimensional multisolitonic solutions, including ring solitons, lump solitons, and soliton clusters.

Original languageEnglish
Pages (from-to)127-132
Number of pages6
JournalCommunications in Theoretical Physics
Volume57
Issue number1
DOIs
Publication statusPublished - Jan 2012
Externally publishedYes

Keywords

  • Hirota binary operator
  • nonlinear localized excitation
  • soliton

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