A perturbative analysis of modulated amplitude waves in Bose–Einstein condensates

DOI10.1063/1.1779991zbMath1080.82017arXivnlin/0308024OpenAlexW3105634185WikidataQ51988404 ScholiaQ51988404MaRDI QIDQ5705435

Predrag Cvitanović, Mason A. Porter

Publication date: 8 November 2005

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0308024

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10)

Related Items (11)

Modulated amplitude waves in collisionally inhomogeneous Bose-Einstein condensates ⋮ Construction of Modulated Amplitude Waves via Averaging in Collisionally Inhomogeneous Bose–Einstein Condensates ⋮ Modulated amplitude waves with non-trivial phase in quasi-1D inhomogeneous Bose-Einstein condensates ⋮ Nonlinear lattice dynamics of Bose–Einstein condensates ⋮ Nonlinear dynamics of differential equations with attractive–repulsive singularities and small time‐dependent coefficients ⋮ Perturbation theory for Bose–Einstein condensates on bounded space domains ⋮ A good approximation of modulated amplitude waves in Bose-Einstein condensates ⋮ The Nonlinear Schrödinger Equation for the Delta-Comb Potential: Quasi-Classical Chaos and Bifurcations of Periodic Stationary Solutions ⋮ SPATIAL RESONANCE OVERLAP IN BOSE–EINSTEIN CONDENSATES IN SUPERLATTICE POTENTIALS ⋮ Modulated amplitude waves with nonzero phases in Bose-Einstein condensates ⋮ Attractiveness of periodic orbits in parametrically forced systems with time-increasing friction

Cites Work

• Subharmonic resonance in the nonlinear Mathieu equation
• Dynamics and stability of Bose-Einstein condensates: the nonlinear Schrödinger equation with periodic potential
• Modulated amplitude waves and defect formation in the one-dimensional complex Ginzburg-Landau equation

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