Lax pair, infinitely many conservation laws and solitons for a \((2 + 1)\)-dimensional Heisenberg ferromagnetic spin chain equation with time-dependent coefficients

DOI10.1016/j.aml.2017.11.010zbMath1459.82338OpenAlexW2771516132WikidataQ114851954 ScholiaQ114851954MaRDI QIDQ1996371

Bo Gao, Zhong-Zhou Lan

Publication date: 4 March 2021

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

Full work available at URL: https://doi.org/10.1016/j.aml.2017.11.010

zbMATH Keywords

solitonsDarboux transformationLax pairinfinitely many conservation laws\((2 + 1)\)-dimensional Heisenberg ferromagnetic spin chain equation

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) NLS equations (nonlinear Schrödinger equations) (35Q55) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Statistical mechanics of magnetic materials (82D40) Soliton solutions (35C08) PDEs in connection with statistical mechanics (35Q82) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06)

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Cites Work

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• Breather-to-soliton conversions and nonlinear wave interactions in a coupled Hirota system
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• Modulation instability, conservation laws and soliton solutions for an inhomogeneous discrete nonlinear Schrödinger equation
• Nonlinear-Evolution Equations of Physical Significance
• Integrable Multi-Component Hybrid Nonlinear Schrödinger Equations
• Coherent and Incoherent States of the Radiation Field
• Field Dependence of the Intrinsic Domain Magnetization of a Ferromagnet

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