Families of spatial solitons in a two-channel waveguide with the cubic-quintic nonlinearity

DOI10.1016/j.physd.2008.08.005zbMath1153.78323arXiv0802.0667OpenAlexW2058890598MaRDI QIDQ1000764

Ze'ev Birnbaum, Boris A. Malomed

Publication date: 10 February 2009

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.0667

zbMATH Keywords

bifurcationsymmetry breakingbreatherstability exchange

Mathematics Subject Classification ID

Soliton equations (35Q51) Lasers, masers, optical bistability, nonlinear optics (78A60) Waves and radiation in optics and electromagnetic theory (78A40)

Related Items (13)

Vortex solitons in fractional nonlinear Schrödinger equation with the cubic-quintic nonlinearity ⋮ Dissipative structures in a parametrically driven dissipative lattice: chimera, localized disorder, continuous-wave, and staggered states ⋮ Stable NLS solitons in a cubic-quintic medium with a delta-function potential ⋮ On vortex and dark solitons in the cubic-quintic nonlinear Schrödinger equation ⋮ Dynamical behavior and exact solution in invariant manifold for a septic derivative nonlinear Schrödinger equation ⋮ Spontaneous symmetry breaking, stability and adiabatic changes of 2D quantum droplets in amended Gross-Pitaevskii equation with multi-well potential ⋮ Matter wave soliton solutions for driven Gross-Pitaevskii equation with distributed coefficients ⋮ Symmetric and asymmetric solitons and vortices in linearly coupled two-dimensional waveguides with the cubic-quintic nonlinearity ⋮ Effects of long-range nonlinear interactions in double-well potentials ⋮ A good approximation of modulated amplitude waves in Bose-Einstein condensates ⋮ Localized and periodic wave patterns for a nonic nonlinear Schrödinger equation ⋮ Chaotic solitons in the quadratic-cubic nonlinear Schrödinger equation under nonlinearity management ⋮ Solitons of the generalized nonlinear Schrödinger equation

Cites Work

• Unnamed Item
• Transitions between symmetric and asymmetric solitons in dual-core systems with cubic--quintic nonlinearity
• Two-component nonlinear Schrödinger models with a double-well potential
• Stability and evolution of the quiescent and travelling solitonic bubbles
• Lattice solitons supported by competing cubic-quintic nonlinearity
• Spontaneous symmetry breaking in photonic lattices: theory and experiment
• Domain walls of single-component Bose--Einstein condensates in external potentials
• Multistable solitons in the cubic-quintic discrete nonlinear Schrödinger equation
• Bound states of two-dimensional solitons in the discrete nonlinear Schrödinger equation

This page was built for publication: Families of spatial solitons in a two-channel waveguide with the cubic-quintic nonlinearity