Squared eigenfunctions and linear stability properties of closed vortex filaments

DOI10.1088/0951-7715/24/12/011zbMath1229.35256OpenAlexW2031541325MaRDI QIDQ3108003

Annalisa M. Calini, Scott F. Keith, Stéphane Lafortune

Publication date: 28 December 2011

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/24/12/011

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (9)

Nondegenerate solitons in the integrable fractional coupled Hirota equation ⋮ Spectral stability of elliptic solutions to the short-pulse equation ⋮ Numerical Integration of Schrödinger Maps via the Hasimoto Transform ⋮ Stability of closed solutions to the vortex filament equation hierarchy with application to the Hirota equation ⋮ Integrable geometric flows for curves in pseudoconformal \(S^3\) ⋮ Stability of solitons on vortex filaments ⋮ The Orbital Stability of Elliptic Solutions of the Focusing Nonlinear Schrödinger Equation ⋮ High‐Order Soliton Solution of Landau–Lifshitz Equation ⋮ The orbital stability of the periodic traveling wave solutions to the defocusing complex modified Korteweg-de Vries equation

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