Real algebrogeometric solutions of the Landau-Lifshitz equation in Prym theta functions

DOI10.1007/BF01086019zbMath0588.35015MaRDI QIDQ1073252

Alexander Ivanovich Bobenko

Publication date: 1985

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

Baker-Akhiezer functionspectral parameterinverse scattering methodPrym varietytheta-functionsClebsch's and Neumann's modelsfinite-gap (N-phase, algebro-geometric) solutions

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Wave equation (35L05) Nonlinear first-order PDEs (35F20) Elliptic functions and integrals (33E05)

Related Items

Solitons in the domain structure of a two-axis ferromagnet, Euler equations in the algebras e(3) and so(4). Isomorphisms of integrable cases, The bi-Hamiltonian formulation of the Landau–Lifshiftz equation, Unnamed Item, Solitons in the domain structure of the ferromagnet, Landau-Lifshitz equation, uniaxial anisotropy case: theory of exact solutions, Discrete versions of some classical integrable systems and factorization of matrix polynomials, The Heisenberg magnet equation and the Birkhoff factorization, On effective solution for some class of vector boundary Riemann problem and corresponding algebraic equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Real two-zone solutions of the sine-Gordon equation
• Landau-Lifshits equations. Dressing up procedure. Elementary excitations
• The Riemann boundary problem on a torus and the inverse scattering problem for the Landau-Lifschitz equation
• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I: General theory and \(\tau \)-function
• Deformation of linear ordinary differential equations. I
• Theta functions on Riemann surfaces
• Landau-Lifshitz equation: solitons, quasi-periodic solutions and infinite-dimensional Lie algebras