Floquet's theorem and stability of periodic solitary waves

DOI10.1007/s10884-009-9143-8zbMath1235.34226OpenAlexW2023443043MaRDI QIDQ735061

Aloisio Freiria Neves

Publication date: 14 October 2009

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-009-9143-8

zbMATH Keywords

spectrumnonlinear stabilityperiodic potentialHill's operator

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

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Cites Work

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• Stability theory of solitary waves in the presence of symmetry. II
• Stability of cnoidal waves
• Stability theory of solitary waves in the presence of symmetry. I
• A linearized instability result for solitary waves
• Orbital stability of periodic waves for the nonlinear Schrödinger equation
• Isoinertial family of operators and convergence of KdV cnoidal waves to solitons
• Positivity Properties of the Fourier Transform and the Stability of Periodic Travelling-Wave Solutions

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