Solution of the Cauchy problem for a generalized sine–Gordon equation

DOI10.1063/1.526656zbMath0561.35051OpenAlexW2009129001MaRDI QIDQ5186069

F. Pempinelli, J. Leon, M. Boiti

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1063/1.526656

zbMATH Keywords

Cauchy problemsine-Gordon equationnonlinear evolution equationsspectral problemlaboratory coordinatestime evolution of the spectral data

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Second-order nonlinear hyperbolic equations (35L70) Partial differential equations of mathematical physics and other areas of application (35Q99)

Cites Work

• The inverse problem for a general \(n \times n\) spectral equation
• Essentially nonlinear one-dimensional model of classical field theory
• A recursive generation of local higher-order sine–Gordon equations and their Bäcklund transformation
• The Dirac inverse spectral transform: Kinks and boomerons
• Non-self-adjoint Zakharov–Shabat operator with a potential of the finite asymptotic values. I. Direct spectral and scattering problems
• Method for Solving the Sine-Gordon Equation in Laboratory Coordinates
• Inverse scattering on the line