Numerical inverse spectral transform for the periodic sine-Gordon equation: Theta function solutions and their linearized stability

DOI10.1016/0167-2789(91)90058-HzbMath0728.65098OpenAlexW2019896673MaRDI QIDQ805193

M. Gregory Forest, Randy Flesch, Amarendra Sinha

Publication date: 1991

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(91)90058-h

zbMATH Keywords

growth ratesine-Gordon equationintegrable systemFloquet spectrumexact oscillatory solutionsExact theta-function solutionsinstabilities of N-phase solutionsinverse spectral solutionx-periodic solutions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Applications to the sciences (65Z05)

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