The nonlinear Klein-Gordon equation on an interval as a perturbed sine-Gordon equation

DOI10.1007/BF02566000zbMath0842.35099MaRDI QIDQ1896463

Alexander Ivanovich Bobenko, Sergej B. Kuksin

Publication date: 29 July 1996

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/140362

zbMATH Keywords

nonlinear Klein-Gordon equationquasiperiodic solutiontangential spacelinear Schrödinger hierarchy

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (15)

KAM for PDEs ⋮ Quasi-periodic solutions for a Schrödinger equation under periodic boundary conditions with given potential ⋮ Small-amplitude solutions of the sine-Gordon equation on an interval under Dirichlet or Neumann boundary conditions ⋮ On squeezing and flow of energy for nonlinear wave equations ⋮ A KAM theorem with applications to partial differential equations of higher dimensions ⋮ Quasi-periodic solutions of completely resonant nonlinear wave equations ⋮ Branching of Cantor manifolds of elliptic tori and applications to PDEs ⋮ Asymptotic behavior of eigenvalues for two-parameter perturbed elliptic sine-Gordon type equations ⋮ Interior transition layers of solutions to the perturbed elliptic sine-Gordon equation on an interval ⋮ KAM for the nonlinear beam equation ⋮ Unnamed Item ⋮ A property of exponential stability in nonlinear wave equations near the fundamental linear mode ⋮ Periodic solutions and Whitham modulation equations for the Lakshmanan-Porsezian-Daniel equation ⋮ Quasi-periodic solutions of nonlinear wave equations with quasi-periodic forcing ⋮ Quasi-Periodic Solutions of Nonlinear Wave Equation with x-Dependent Coefficients

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