On the vortex solutions of some nonlinear scalar field equations

DOI10.1216/rmjm/1181072971zbMath0732.35093OpenAlexW2088183048MaRDI QIDQ808332

Michael I. Weinstein

Publication date: 1991

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072971

zbMATH Keywords

stabilityheat equationvortex solutionsnonlinear SchrödingerKlein-Gordon

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Model quantum field theories (81T10) Second-order nonlinear hyperbolic equations (35L70) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (6)

Dynamics of vortices in Ginzburg-Landau theories with applications to superconductivity ⋮ Dynamic stability of vortex solutions of Ginzburg-Landau and nonlinear Schrödinger equations ⋮ Existence of the vortex solutions of some semilinear elliptic equations ⋮ Multiple branches of travelling waves for the Gross–Pitaevskii equation ⋮ A uniqueness result for the two-vortex traveling wave in the nonlinear Schrödinger equation ⋮ Dynamics of lattice kinks

Cites Work

• Unnamed Item
• Instability of nonlinear bound states
• Multichannel nonlinear scattering for nonintegrable equations
• Modulational Stability of Ground States of Nonlinear Schrödinger Equations
• Lyapunov stability of ground states of nonlinear dispersive evolution equations

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