Local and nonlocal solitons in a coupled real system of Landau-Lifshitz equations

DOI10.1016/j.physd.2021.132893zbMath1490.35447OpenAlexW3137545130MaRDI QIDQ2077661

Matthew Russo

Publication date: 21 February 2022

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

Full work available at URL: https://doi.org/10.1016/j.physd.2021.132893

zbMATH Keywords

solitonsferrimagnetgauge-equivalenceLandau-Lifshitznonlocal NLS

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Statistical mechanics of magnetic materials (82D40) Soliton solutions (35C08) PDEs in connection with statistical mechanics (35Q82)

Related Items (5)

Global conservative solutions of the nonlocal NLS equation beyond blow-up ⋮ Darboux transformation and general soliton solutions for the reverse space-time nonlocal short pulse equation ⋮ Focusing nonlocal nonlinear Schrödinger equation with asymmetric boundary conditions: large-time behavior ⋮ Asymptotic stage of modulation instability for the nonlocal nonlinear Schrödinger equation ⋮ Global Cauchy problems for the nonlocal (derivative) NLS in \(E_\sigma^s\)

Cites Work

• The nonlinear stability of a heavy rigid plate supported by flexible columns
• Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation
• Inverse scattering transform for the nonlocal nonlinear Schrödinger equation with nonzero boundary conditions
• Solitons on moving space curves
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• Method for Solving the Korteweg-deVries Equation
• Integrable Nonlocal Nonlinear Equations
• Integrable nonlocal asymptotic reductions of physically significant nonlinear equations
• Integrals of nonlinear equations of evolution and solitary waves
• A soliton on a vortex filament
• Nonlocal gauge equivalence: Hirota versus extended continuous Heisenberg and Landau–Lifschitz equation

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