Dynamics of nonlinear waves in two-dimensional cubic-quintic nonlinear Schrödinger equation with spatially modulated nonlinearities and potentials

Si Liu Xu, Jia Xi Cheng, Milivoj R. Belić, Zheng Long Hu, Yuan Zhao

Research output: Contribution to journalArticlepeer-review

25 Citations (Scopus)

Abstract

We derive analytical solutions to the cubic-quintic nonlinear Schrödinger equation with potentials and nonlinearities depending on both propagation distance and transverse space. Among other, circle solitons and multi-peaked vortex solitons are found. These solitary waves propagate self-similarly and are characterized by three parameters, the modal numbers m and n, and the modulation depth of intensity. We find that the stable fundamental solitons with m = 0 and the low-order solitons with m = 1, n ≤ 2 can be supported with the energy eigenvalues E = 0 and E ≠ 0. However, higher-order solitons display unstable propagation over prolonged distances. The stability of solutions is examined by numerical simulations.

Original languageEnglish
Pages (from-to)10066-10077
Number of pages12
JournalOptics Express
Volume24
Issue number9
DOIs
Publication statusPublished - 2 May 2016
Externally publishedYes

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