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Stability properties of periodic waves for the Klein-Gordon equation with quintic nonlinearity

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Publication:279040
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DOI10.1016/J.AMC.2013.08.063zbMath1339.35188OpenAlexW2002866236MaRDI QIDQ279040

Eleomar jun. Cardoso, Fábio M. Amorin Natali

Publication date: 27 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.08.063


zbMATH Keywords

nonpositive spectrumorbital instability


Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Initial value problems for second-order hyperbolic equations (35L15) Traveling wave solutions (35C07) Second-order semilinear hyperbolic equations (35L71)


Related Items (4)

Cnoidal waves for the quintic Klein-Gordon and Schrödinger equations: existence and orbital instability ⋮ Orbital stability and instability of periodic wave solutions for ϕ4n -models ⋮ Orbital stability and instability of periodic wave solutions for the \(\phi^4\)-model ⋮ Evaluation of mixed Crank-Nicolson scheme and tau method for the solution of Klein-Gordon equation







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