The perturbed cubic Schrödinger equation: Selection mechanism, resonant limits, and spatial chaos

DOI10.1063/1.528154zbMath0665.35074OpenAlexW1975358653MaRDI QIDQ3816463

Paul K. Newton

Publication date: 1988

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.528154

zbMATH Keywords

chaotic behaviorselection mechanismGinzburg-Landau-type perturbationsperturbed cubic Schrödinger equationresonant limit processSeparable solutionssinusoidal in time

Mathematics Subject Classification ID

Perturbations in context of PDEs (35B20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (3)

Solution of the forced nonlinear schrödinger (nls) equation using pde techniques ⋮ Numerical simulation of blow-up of a 2D generalized Ginzburg-Landau equation ⋮ On the forced nonlinear Schrödinger equation

Cites Work

• The forced nonlinear Schrödinger equation
• Periodic solutions of the Ginzburg-Landau equation
• Spatial structure of time-periodic solutions of the Ginzburg-Landau equation
• Solutions of the Ginzburg-Landau Equation of Interest in Shear Flow Transition
• Slowly varying solitary waves. II. Nonlinear Schrödinger equation
• Errata and Addenda: Averaging and Chaotic Motions in Forced Oscillations
• Dynamics of Perturbed Wavetrain Solutions to the Ginzburg-Landau Equation
• Instabilities of the Ginzburg-Landau equation. II. Secondary bifurcation
• A nonlinear oscillator with a strange attractor
• Differentiable dynamical systems

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