Integrability of Klein–Gordon Equations

DOI10.1137/0517058zbMath0629.35104OpenAlexW2020009482MaRDI QIDQ3766220

John Bryce McLeod, Peter J. Olver, Peter A. Clarkson, Alfred Ramani

Publication date: 1986

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0517058

zbMATH Keywords

Klein-Gordon equationPainlevé analyses

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Partial differential equations of mathematical physics and other areas of application (35Q99)

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Blow-up surfaces for nonlinear wave equations, II ⋮ Fractal structure of the soliton scattering for the graphene superlattice equation ⋮ Solitary-Wave Interactions in Elastic Rods ⋮ Nonresonant interacting waves for the nonlinear Klein-Gordon equation in three-dimensional space ⋮ Symmetries of generalized Klein–Gordon (including sine-Gordon) equations in two dimensions ⋮ \(F\)-expansion method and its application for finding new exact solutions to the sine-Gordon and sinh-Gordon equations ⋮ Comparison of numerical methods for the nonlinear Klein-Gordon equation in the nonrelativistic limit regime ⋮ Realizations of Lie algebras on the line and the new group classification of (1+1)-dimensional generalized nonlinear Klein-Gordon equations ⋮ Symmetry reductions and new functional separable solutions of nonlinear Klein–Gordon and telegraph type equations ⋮ A direct method for solving sine-Gordon type equations ⋮ New exact solutions for the sinh-Gordon equation

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