Group-theoretical analysis of the sine-Gordon equation as a relativistic dynamical system

DOI10.1063/1.525787zbMath0529.70023OpenAlexW2146728560MaRDI QIDQ3311751

Luis Martínez-Alonso

Publication date: 1983

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.525787

zbMATH Keywords

radiationsolitonsinverse scattering transform methodbreathersnonlinear flowaction of Poincare group in terms of scattering datacanonical realizations of groupgroup-theoretical characterization of sine-Gordon equationone-parameter group of pure Lorentz transformations

Mathematics Subject Classification ID

Unified, higher-dimensional and super field theories (83E99) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Quantum field theory; related classical field theories (81T99) Classical field theories (70Sxx)

Related Items (2)

Inverse scattering variables of the KdV equation from the point of view of Galilean mechanics ⋮ Quantum solitons of the nonlinear Schrödinger field as Galilean particles

Cites Work

• Essentially nonlinear one-dimensional model of classical field theory
• Nonlinear-Evolution Equations of Physical Significance
• Group-theoretical foundations of classical and quantum mechanics. I. Observables associated with Lie algebras

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