Stability of periodic travelling shallow-water waves determined by Newton's equation

DOI10.1088/1751-8113/41/8/085203zbMath1136.35317arXiv0707.4365OpenAlexW3101858521MaRDI QIDQ5454326

Kiril P. Kirchev, Iliya D. Iliev, Sevdzhan A. Hakkaev

Publication date: 28 March 2008

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.4365

zbMATH Keywords

Floquet theory Camassa-Holm equation Benjamin-Bona-Mahony equation

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Singular perturbations in context of PDEs (35B25) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)

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