Completely integrable model of classical field theory with nontrivial particle interation in two-dimensional space-time

DOI10.1007/BF01375607zbMath0517.70021OpenAlexW2055981885MaRDI QIDQ1053472

A. S. Budagov

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1007/bf01375607

zbMATH Keywords

elastic scatteringsoliton interactionSine-Gordon equationnonlinear relativistic equationsoliton spectrum

Mathematics Subject Classification ID

(n)-body problems (70F10) Equations of motion in general relativity and gravitational theory (83C10) Classical field theories (70Sxx)

Cites Work

• Unnamed Item
• On the complete integrability of a nonlinear Schrödinger equation
• Essentially nonlinear one-dimensional model of classical field theory
• A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
• Description of extraordinary representations of the group \(PGL(2,Q_2)\)
• Example of a completely integrable nonlinear wave field with nontrivial dynamics (Lee model)
• Integrable Hamiltonian systems and interactions through quadratic constraints

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