Method for Solving the Sine-Gordon Equation in Laboratory Coordinates

DOI10.1002/sapm1975542165zbMath0301.35075OpenAlexW2269521095MaRDI QIDQ4056495

D. J. Kaup

Publication date: 1975

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm1975542165

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25)

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Long-time asymptotics for the pure radiation solution of the sine—gordon equation, Krein signatures for the Faddeev-Takhtajan eigenvalue problem, The sine-Gordon equation in the semiclassical limit: critical behavior near a separatrix, Decay of a square pulse to sine-Gordon breathers, Particles in a Singular Asymptotic Limit of a Classical Field Theory, The squared eigenstates of the sine–Gordon eigenvalue problem, Nonlinear Fourier transforms for the sine-Gordon equation in the quarter plane, The stability spectrum for elliptic solutions to the sine-Gordon equation, Asymptotic stability of the sine-Gordon kink under odd perturbations, Semiclassical spectral confinement for the sine-Gordon equation, Unnamed Item, Numerical inverse scattering for the sine-Gordon equation, Construction of solutions of the sine-Gordon equation by means of Fredholm determinants, Exact solutions of semiclassical non-characteristic Cauchy problems for the sine-Gordon equation, Über die Automorphismengruppen von Banach-Mannigfaltigkeiten mit invarianter Metrik, Solution of the Cauchy problem for a generalized sine–Gordon equation, On the Inverse Scattering Problem for Cubic Eigenvalue Problems of the Class ψ_xxx + 6Qψ_x + 6R_ψ = λψ, Nonlinear wave equations and constrained harmonic motion

Cites Work

• Particle states of a quantized meson field
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• The decay of the continuous spectrum for solutions of the Korteweg-deVries equation