Stable solitons in coupled Ginzburg-Landau equations describing Bose-Einstein condensates and nonlinear optical waveguides and cavities

DOI10.1016/S0167-2789(03)00181-7zbMath1038.35127arXivnlin/0306035OpenAlexW2071157364MaRDI QIDQ1404839

Hidetsugu Sakaguchi, Boris A. Malomed

Publication date: 24 August 2003

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

Full work available at URL: https://arxiv.org/abs/nlin/0306035

zbMATH Keywords

perturbation theoryGinzburg-Landau equationBose-Einstein condensateelastic collisionsnonlinear losssemiconductor waveguides

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Quantum equilibrium statistical mechanics (general) (82B10) Lasers, masers, optical bistability, nonlinear optics (78A60)

Related Items (9)

Ratchet-induced matter-wave transport and soliton collisions in Bose-Einstein condensates ⋮ Exponential attractor for coupled Ginzburg-Landau equations describing Bose-Einstein condensates and nonlinear optical waveguides and cavities ⋮ Variable-time-step BDF2 nonconforming VEM for coupled Ginzburg-Landau equations ⋮ Ergodicity of the stochastic coupled fractional Ginzburg-Landau equations driven by \(\alpha\)-stable noise ⋮ MODULATIONAL INSTABILITY AND EXACT SOLITON AND PERIODIC SOLUTIONS FOR TWO WEAKLY COUPLED EFFECTIVELY 1D CONDENSATES TRAPPED IN A DOUBLE-WELL POTENTIAL ⋮ Motion of pulses and vortices in the cubic-quintic complex Ginzburg-Landau equation without viscosity ⋮ Pointwise error estimate in difference setting for the two-dimensional nonlinear fractional complex Ginzburg-Landau equation ⋮ Well-posedness and dynamics of stochastic fractional model for nonlinear optical fiber materials ⋮ Long-time behavior of solution for coupled Ginzburg-Landau equations describing Bose-Einstein condensates and nonlinear optical waveguides and cavities

Uses Software

• RACHET

Cites Work

• Bound states of solitary pulses in linearly coupled Ginzburg-Landau equations
• Exact stable pulses in asymmetric linearly coupled Ginzburg-Landau equations
• The world of the complex Ginzburg-Landau equation
• Nonlinear Schrödinger equation including growth and damping
• Quantum Ratchets
• Instabilities and splitting of pulses in coupled Ginzburg-Landau equations

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