Prolongation structure of the Landau–Lifshitz equation

DOI10.1063/1.530124zbMath0776.35060OpenAlexW2083746144MaRDI QIDQ4203220

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Publication date: 8 September 1993

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

Full work available at URL: https://doi.org/10.1063/1.530124

zbMATH Keywords

Lax pairauto-Bäcklund transformationsprolongation algebra

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) PDEs in connection with quantum mechanics (35Q40) Invariance and symmetry properties for PDEs on manifolds (58J70)

Related Items (6)

On Lie algebras responsible for integrability of \((1+1)\)-dimensional scalar evolution PDEs ⋮ Infinite-dimensional prolongation Lie algebras and multicomponent Landau-Lifshitz systems associated with higher genus curves ⋮ Coverings and fundamental algebras for partial differential equations ⋮ Some exact solutions to multidimensional Landau-Lifshitz equation with uprush external field and anisotropy field ⋮ SOME PERIODIC AND BLOW-UP SOLUTIONS FOR LANDAU–LIFSHITZ EQUATION ⋮ Gardner's deformations of the graded Korteweg–de Vries equations revisited

Cites Work

• Nonlocal trends in the geometry of differential equations: Symmetries, conservation laws, and Bäcklund transformations
• Landau-Lifshitz equation: solitons, quasi-periodic solutions and infinite-dimensional Lie algebras
• On the inverse problem and prolongation structure for the modified anisotropic Heisenberg spin chain

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