High‐Order Soliton Solution of Landau–Lifshitz Equation

DOI10.1111/sapm.12051zbMath1311.35246OpenAlexW1536158443MaRDI QIDQ4982249

Liming Ling, Bo-ling Guo, Dong-fen Bian

Publication date: 24 March 2015

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/sapm.12051

zbMATH Keywords

ferromagnetLandau-Lifshitz equationDarboux transformationinverse scattering methodnonlinear spin waveshigh-order soliton solution formula

Mathematics Subject Classification ID

Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Statistical mechanics of magnetic materials (82D40)

Related Items (17)

Fifth-order generalized Heisenberg supermagnetic models ⋮ Inverse Scattering Transform and Soliton Solutions for the Hirota Equation with $N$ Distinct Arbitrary Order Poles ⋮ Several reverse-time integrable nonlocal nonlinear equations: Rogue-wave solutions ⋮ Dynamics of high-order solitons in the nonlocal nonlinear Schrödinger equations ⋮ General soliton solutions to a coupled Fokas-Lenells equation ⋮ N -Soliton Solution and Soliton Resonances for the (2+1)-Dimensional Inhomogeneous Gardner Equation ⋮ Hodograph transformation, various exact solutions and dynamical analysis for the complex Wadati-Konno-Ichikawa-II equation ⋮ Darboux transformation and classification of solution for mixed coupled nonlinear Schrödinger equations ⋮ Effective generation of closed-form soliton solutions of the continuous classical Heisenberg ferromagnet equation ⋮ High-order soliton solutions and their dynamics in the inhomogeneous variable coefficients Hirota equation ⋮ Dynamics of soliton solutions of the nonlocal Kundu-nonlinear Schrödinger equation ⋮ High-order soliton matrices for Sasa-Satsuma equation via local Riemann-Hilbert problem ⋮ Rogue waves in the nonlocal \(\mathcal{PT}\)-symmetric nonlinear Schrödinger equation ⋮ The algebraic representation for high order solution of Sasa-Satsuma equation ⋮ A generalization of the Landau-Lifschitz equation: breathers and rogue waves ⋮ Darboux transformation to the nonlocal complex short pulse equation ⋮ Asymptotic analysis of high-order solitons for the Hirota equation

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