Stability of vortex solitons in the cubic-quintic model
From MaRDI portal
Publication:5952616
DOI10.1016/S0167-2789(01)00362-1zbMath0987.35150OpenAlexW1989451032MaRDI QIDQ5952616
L.-C. Crasovan, Dumitru Mihalache, Boris A. Malomed
Publication date: 15 January 2002
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0167-2789(01)00362-1
nonlinear Schrödinger equationdispersive medialight bulletperturbation eigenmode growth ratessymmetry-breaking azimuthal instability
NLS equations (nonlinear Schrödinger equations) (35Q55) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45)
Related Items (11)
Vortex solitons in fractional nonlinear Schrödinger equation with the cubic-quintic nonlinearity ⋮ On vortex and dark solitons in the cubic-quintic nonlinear Schrödinger equation ⋮ Solitary waves of the generalized Radhakrishnan-Kundu-Lakshmanan equation with four powers of nonlinearity ⋮ Ginzburg-Landau models of nonlinear electric transmission networks ⋮ Stable diffraction managed spatial soliton in bulk cubic-quintic media ⋮ Dark–bright optical solitary waves and modulation instability analysis with (2 + 1)-dimensional cubic-quintic nonlinear Schrödinger equation ⋮ Stabilizing solitons of the cubic-quintic nonlinear Schrödinger equation by frequency-dependent linear gain-loss and delayed Raman response ⋮ Symmetric and asymmetric solitons and vortices in linearly coupled two-dimensional waveguides with the cubic-quintic nonlinearity ⋮ Families of fundamental and vortex solitons under competing cubic-quintic nonlinearity with complex potentials ⋮ Existence, stability, and scattering of bright vortices in the cubic-quintic nonlinear Schrödinger equation ⋮ Stability of Gaussian-type soliton in the cubic-quintic nonlinear media with fourth-order diffraction and \(\mathcal{PT}\)-symmetric potentials
Cites Work
This page was built for publication: Stability of vortex solitons in the cubic-quintic model
