The vector generalization of the Landau-Lifshitz equation: Bäcklund transformation and solutions

DOI10.1016/J.AML.2005.02.021zbMath1125.35410OpenAlexW2138952925MaRDI QIDQ812722

M. Yu. Balakhnev

Publication date: 24 January 2006

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

Full work available at URL: https://doi.org/10.1016/j.aml.2005.02.021

zbMATH Keywords

Bäcklund transformationvector evolution equations

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Soliton equations (35Q51) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (4)

Infinite-dimensional prolongation Lie algebras and multicomponent Landau-Lifshitz systems associated with higher genus curves ⋮ New examples of the auto-Bäcklund transformations and nonlinear superposition formulas for vector evolution systems ⋮ First-order differential substitutions for equations integrable on \(\mathbb S^{n}\) ⋮ Superposition formulas for integrable vector evolution equations

Cites Work

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• Integrable evolution equations on the \(N\)-dimensional sphere
• Classification of integrable divergent \(N\)-component evolution systems
• Bäcklund transformation for the Krichever-Novikov equation
• Multicomponent generalization of the hierarchy of the Landau-Lifshits equation

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