Quantized vortex stability and interaction in the nonlinear wave equation

DOI10.1016/j.physd.2008.03.026zbMath1147.82037OpenAlexW2038866908MaRDI QIDQ947749

Weizhu Bao, Rong Zeng, Yanzhi Zhang

Publication date: 7 October 2008

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

Full work available at URL: https://doi.org/10.1016/j.physd.2008.03.026

zbMATH Keywords

stabilitynonlinear wave equationvortex interactionquantized vortexreduced dynamic law

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) PDEs in connection with quantum mechanics (35Q40) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Statistical mechanics of superfluids (82D50) Numerical methods for trigonometric approximation and interpolation (65T40)

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The backward group preserving scheme for multi-dimensional nonhomogeneous and nonlinear backward wave problems ⋮ Quantized vortex dynamics and interaction patterns in superconductivity based on the reduced dynamical law ⋮ Quantized vortex dynamics of the nonlinear Schrödinger equation on torus with non-vanishing momentum ⋮ Non-equilibrium thermodynamics, heat transport and thermal waves in laminar and turbulent superfluid helium ⋮ On the Rotating Nonlinear Klein--Gordon Equation: NonRelativistic Limit and Numerical Methods ⋮ Maximizing critical currents in superconductors by optimization of normal inclusion properties ⋮ Waves on a vortex filament: exact solutions of dynamical equations

Cites Work

• Unnamed Item
• Unnamed Item
• Numerical methods for the nonlinear Schrödinger equation with nonzero far-field conditions
• Vortex dynamics of the nonlinear wave equation
• Vortices in complex scalar fields
• Vortex dynamics for the Ginzburg-Landau wave equation
• Dynamics of vortices in Ginzburg-Landau theories with applications to superconductivity
• Dynamic stability of vortex solutions of Ginzburg-Landau and nonlinear Schrödinger equations
• Numerical solution of the Gross--Pitaevskii equation for Bose--Einstein condensation
• Dynamics of rotating two-component Bose-Einstein condensates and its efficient computation
• Ground, symmetric and central vortex states in rotating Bose-Einstein condensates
• The world of the complex Ginzburg-Landau equation
• DYNAMICS OF THE GROUND STATE AND CENTRAL VORTEX STATES IN BOSE–EINSTEIN CONDENSATION
• Analysis and Approximation of the Ginzburg–Landau Model of Superconductivity
• The Ginzburg-Landau equation III. Vortex dynamics
• Encapsulated-Vortex Solutions to Equivariant Wave Equations: Existence
• Vortex dynamics for the nonlinear wave equation
• ASYMPTOTIC BEHAVIOUR OF SOLUTIONS OF GINZBURG–LANDAU AND RELATED EQUATIONS
• Unstable manifolds and Schr$ouml$dinger dynamics of Ginzburg$ndash$Landau vortices
• The Dynamics and Interaction of Quantized Vortices in the Ginzburg–Landau–Schrödinger Equation
• Numerical simulation of vortex dynamics in Ginzburg-Landau-Schrödinger equation
• Dynamics of Rotating Bose--Einstein Condensates and its Efficient and Accurate Numerical Computation
• Vortex dynamics of Ginzburg-Landau equations in inhomogeneous superconductors

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