Algebraic aspects of two-dimensional chiral fields. II

DOI10.1007/BF01255615zbMath0475.34006OpenAlexW4235764768MaRDI QIDQ1159799

Ivan V. Cherednik

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1007/bf01255615

zbMATH Keywords

inverse problemBäcklund transformationsKorteweg-de Vries equationlocal conservation lawsalgebraic methodstheory of solitons

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Inverse problems for PDEs (35R30) Soliton equations (35Q51) Geometric theory, characteristics, transformations in context of PDEs (35A30) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02)

Related Items

Nonlinear equations and graded Lie algebras, Matrix finite-zone operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Construction of instantons
• Quasi-periodic solutions of nonlinear equations of sine-Gordon type and fixed point free involutions of hyperelliptic curves
• Essentially nonlinear one-dimensional model of classical field theory
• Indicators of an entire function and the regularity of the growth of the Fourier coefficients of the logarithm of its modulus
• Description of extraordinary representations of the group \(PGL(2,Q_2)\)
• Integration of nonlinear equations by the methods of algebraic geometry
• On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
• Classically solvable field theory model
• Equations of long waves with a free surface. II: Hamiltonian structure and higher equations
• Example of a completely integrable nonlinear wave field with nontrivial dynamics (Lee model)
• Conservation laws for a string in a static field
• Integrable Hamiltonian systems and interactions through quadratic constraints
• ASYMPTOTIC BEHAVIOUR OF THE RESOLVENT OF STURM-LIOUVILLE EQUATIONS AND THE ALGEBRA OF THE KORTEWEG-DE VRIES EQUATIONS
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• Integrals of nonlinear equations of evolution and solitary waves
• General Wiener-Hopf Operators