Complete integrability of the symmetric chiral O(3)-field equation in a class of rapidly decreasing functions

DOI10.1016/0167-2789(89)90054-7zbMath0694.35185OpenAlexW1972560538MaRDI QIDQ909129

Vladimir Mikhalev

Publication date: 1989

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(89)90054-7

zbMATH Keywords

asymmetric chiral O(3)-field equationGel'fand-Levitan approachLandau- Lifshitz equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (1)

A generalization of the Kac-Moody algebras with a parameter on an algebraic curve and perturbations of solitons

Cites Work

• The Riemann boundary problem on Riemann surfaces and the inverse scattering problem for the Landau-Lifschitz equation
• Algebras of Virasoro type, Riemann surfaces and structures of the theory of solitons
• The spectral theory of a functional-difference operator in conformal field theory
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