The method of Darboux transformation matrix for solving the Landau-Lifschitz equation for a spin chain with an easy plane

DOI10.1088/0305-4470/28/14/024zbMath0859.35102OpenAlexW2029822200MaRDI QIDQ4716618

Nian-Ning Huang, Zongyun Chen, Zhongzhu Liu

Publication date: 9 April 1997

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/28/14/024

zbMATH Keywords

Jost solutionsspin chainmulti-soliton solutionsLax equationsLandau-Lifschitz equationone-soliton solutionDarboux transformation matrix

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (5)

Hodograph transformation, various exact solutions and dynamical analysis for the complex Wadati-Konno-Ichikawa-II equation ⋮ The estimates of the ill-posedness index of the (deformed-) continuous Heisenberg spin equation ⋮ On differential systems describing surfaces of constant curvature ⋮ A generalization of the Landau-Lifschitz equation: breathers and rogue waves ⋮ Exact soliton solution of spin chain with an external magnetic field in linear wave background

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