Kummer solitons in strongly nonlocal nonlinear media

Wei Ping Zhong*, Milivoj Belić

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

27 Citations (Scopus)

Abstract

We solve the three-dimensional (3D) time-dependent strongly nonlocal nonlinear Schrödinger equation (NNSE) in spherical coordinates, with the help of Kummer's functions. We obtain analytical solitary solutions, which we term the Kummer solitons. We compare analytical solutions with the numerical solutions of NNSE. We discuss higher-order Kummer spatial solitons, which can exist in various forms, such as the 3D vortex solitons and the multipole solitons.

Original languageEnglish
Pages (from-to)296-298
Number of pages3
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume373
Issue number2
DOIs
Publication statusPublished - 1 Jan 2009
Externally publishedYes

Keywords

  • Nonlocal
  • Schrödinger equation
  • Solitons

Fingerprint

Dive into the research topics of 'Kummer solitons in strongly nonlocal nonlinear media'. Together they form a unique fingerprint.

Cite this