General formulas for solutions of initial and boundary-value problems for the sine-Gordon equation

DOI10.1007/BF02065862zbMath0855.35111MaRDI QIDQ1920636

E. D. Belokolos

Publication date: 12 August 1996

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

wave equationboundary-value problemsine-Gordon equationGoursat problemsinfinite-dimensional Kac-Moody algebrasordered path integrals

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Wave equation (35L05) Invariance and symmetry properties for PDEs on manifolds (58J70)

Related Items (4)

Characteristic properties of the scattering data for the mKdV equation on the half-line ⋮ Generation of asymptotic solitons of the nonlinear Schrödinger equation by boundary data ⋮ Evaluation of mixed Crank-Nicolson scheme and tau method for the solution of Klein-Gordon equation ⋮ Exact solutions to the sine-Gordon equation

Cites Work

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• Infinite dimensional Lie algebras. An introduction
• Theory of group representations and integration of nonlinear systems \(x_{a, z\overline{z}}=\exp(kx)_{a}\)
• Solution of the initial value problem for the sine-Gordon equation using a Kac-Moody algebra
• Boundary conditions for integrable equations
• An initial-boundary value problem for the sine-Gordon equation in laboratory coordinates
• Soliton generation for initial-boundary-value problems

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