Boundary-value problem for two-dimensional stationary Heisenberg magnet with nontrivial background. I

DOI10.1007/BF01028442zbMath0798.35142OpenAlexW4243547246MaRDI QIDQ1326800

V. D. Lipovskij, E. Sh. Gutshabash

Publication date: 13 July 1994

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01028442

zbMATH Keywords

asymptotic behaviorinverse scattering transformsolutions of soliton type

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Inverse problems for PDEs (35R30) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Statistical mechanics of ferroelectrics (82D45) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items

On canonical variables in integrable models of magnets ⋮ Nonlinear \(\sigma\)-model in a curved space, gauge equivalence, and exact solutions of \((2+0)\)-dimensional integrable equations ⋮ Discrete symmetries, Darboux transformation, and exact solutions of the Wess-Zumino-Novikov-Witten model

Cites Work

• Complex and quaternionic analyticity in chiral and gauge theories. I
• Integrable Hamiltonian systems and interactions through quadratic constraints
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