Topography of attractors of the parametrically driven nonlinear Schrödinger equation

DOI10.1016/0167-2789(95)00126-OzbMath1194.35399OpenAlexW2159956130MaRDI QIDQ992413

Mariana Bondila, Mikhail M. Bogdan, Igor V. Barashenkov

Publication date: 11 September 2010

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

Full work available at URL: https://doi.org/10.1016/0167-2789(95)00126-o

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (11)

Interactions and motions of double-solitons with opposite polarity in a parametrically driven system ⋮ Soliton-antisoliton interaction in a parametrically driven easy-plane magnetic wire ⋮ Taming Spatiotemporal Chaos by Impurities in the Parametrically Driven Damped Nonlinear Schrödinger Equation ⋮ Stabilization of solitons in coupled nonlinear pendulums with simultaneous external and parametric excitations ⋮ Parametrically excited nonlinear waves and their localizations ⋮ Solutions of smooth nonlinear partial differential equations ⋮ Soliton-radiation coupling in the parametrically driven, damped nonlinear Schrödinger equation ⋮ Temporally-Periodic Solitons of the Parametrically Driven Damped Nonlinear Schrödinger Equation ⋮ Oscillating solitons of the driven, damped nonlinear Schrödinger equation ⋮ Dynamics of counterpropagating waves in parametrically driven systems: dispersion vs. advection ⋮ Chaotic solitons in the quadratic-cubic nonlinear Schrödinger equation under nonlinearity management

Cites Work

• Breather dynamics in the nonlinear Schrödinger regime of perturbed sine-Gordon systems
• Low-dimensional chaos in a driven damped nonlinear Schrödinger equation
• A quasi-periodic route to chaos in a near-integrable PDE
• Parametrically excited solitary waves
• Stability and Bifurcation of Spatially Coherent Solutions of the Damped-Driven NLS Equation
• Split-Step Methods for the Solution of the Nonlinear Schrödinger Equation
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