Algebraic aspects of two-dimensional chiral fields

DOI10.1007/BF01084287zbMath0509.35052MaRDI QIDQ1838083

Ivan V. Cherednik

Publication date: 1983

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

surveysolitonsalgebraic methodsBäcklund transformsrelativistic chiral fieldsrepresentations of a zero curvature

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Geometrodynamics and the holographic principle (83E05) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items

Elliptic curves and soliton matrix differential equations ⋮ Integrated Lax formalism for principal chiral model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Construction of instantons
• Bäcklund transformations, the inverse scattering method, solitons, and their applications. NSF research workshop on contact transformations
• Integration of nonlinear equations by the methods of algebraic geometry
• Classically solvable field theory model
• Example of a completely integrable nonlinear wave field with nontrivial dynamics (Lee model)
• Integrable Hamiltonian systems and interactions through quadratic constraints
• Partition function of the eight-vertex lattice model
• Unified approach to strings and vortices with soliton solutions
• Integrals of nonlinear equations of evolution and solitary waves