Stable localized pulses and zigzag stripes in a two-dimensional diffractive-diffusive Ginzburg-Landau equation

DOI10.1016/S0167-2789(01)00334-7zbMath0981.78008arXivnlin/0109003OpenAlexW2017240227MaRDI QIDQ5947764

Hidetsugu Sakaguchi, Boris A. Malomed

Publication date: 17 October 2001

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

Full work available at URL: https://arxiv.org/abs/nlin/0109003

zbMATH Keywords

Ginzburg-Landau equationstability regionKerr nonlinearitytwo-dimensional optical waveguide

Mathematics Subject Classification ID

Lasers, masers, optical bistability, nonlinear optics (78A60)

Related Items (6)

Doubly periodic wave solution to two-dimensional diffractive-diffusive Ginzburg-Landau equation ⋮ Extended auxiliary equation method and its applications to three generalized NLS equations ⋮ Breather type of chirped soliton solutions for the 2D Ginzburg-Landau equation ⋮ Application of Exp-function method for 2D cubic-quintic Ginzburg-Landau equation ⋮ Novel homoclinic and heteroclinic solutions for the 2D complex cubic Ginzburg-Landau equation ⋮ Two-dimensional solitary pulses in driven diffractive-diffusive complex Ginzburg-Landau equations

Cites Work

• Evolution of nonsoliton and ``quasi-classical wavetrains in nonlinear Schrödinger and Korteweg-de Vries equations with dissipative perturbations
• Breathing and randomly walking pulses in a semilinear Ginzburg-Landau system
• Localized patterns for the quintic complex Swift-Hohenberg equation
• Exact stable pulses in asymmetric linearly coupled Ginzburg-Landau equations
• Nonlinear Schrödinger equation including growth and damping
• Models of Vortices in Anisotropic Superconductors
• Pattern formation outside of equilibrium
• On the nonlinear response of a marginally unstable plane parallel flow to a two-dimensional disturbance

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