Localized patterns for the quintic complex Swift-Hohenberg equation

DOI10.1016/S0167-2789(97)00310-2zbMath0938.35022OpenAlexW1993814570MaRDI QIDQ1967249

Helmut R. Brand, Hidetsugu Sakaguchi

Publication date: 22 June 2000

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

Full work available at URL: https://doi.org/10.1016/s0167-2789(97)00310-2

zbMATH Keywords

numerical simulationslocalized travelling waveslocalized standing wave patterns

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Bifurcations in context of PDEs (35B32)

Related Items (12)

Interactions between two-dimensional solitons in the diffractive-diffusive Ginzburg-Landau equation with the cubic-quintic nonlinearity ⋮ The analytical analysis of nonlinear fractional-order dynamical models ⋮ Dissipative solitons of the discrete complex cubic-quintic Ginzburg-Landau equation ⋮ Stable localized pulses and zigzag stripes in a two-dimensional diffractive-diffusive Ginzburg-Landau equation ⋮ Motion of pulses and vortices in the cubic-quintic complex Ginzburg-Landau equation without viscosity ⋮ LOCALIZED STRUCTURES IN NONEQUILIBRIUM SYSTEMS ⋮ Nonlinear waves in a quintic FitzHugh–Nagumo model with cross diffusion: Fronts, pulses, and wave trains ⋮ Exact soliton solutions of the one-dimensional complex Swift-Hohenberg equation ⋮ Solitary pulses in linearly coupled cubic-quintic Ginzburg-Landau equations ⋮ Periodic and optical soliton solutions of the quintic complex Swift-Hohenberg equation ⋮ Snakes and ladders in an inhomogeneous neural field model ⋮ A complex Swift-Hohenberg equation coupled to the Goldstone mode in the nonlinear dynamics of flames

Cites Work

• Higher-dimensional localized patterns in excitable media
• Benjamin-Feir turbulence in convective binary fluid mixtures
• EXPERIMENTAL STUDY OF STATIONARY TURING PATTERNS AND THEIR INTERACTION WITH TRAVELING WAVES IN A CHEMICAL SYSTEM

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