Hamiltonian formulation, nonintegrability and local bifurcations for the Ostrovsky equation

DOI10.1016/j.chaos.2006.03.057zbMath1130.37031arXivmath-ph/0606063OpenAlexW2079196005MaRDI QIDQ2468105

Yue Liu, S. Roy Choudhury, Rossen I. Ivanov

Publication date: 30 January 2008

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0606063

zbMATH Keywords

solitary wavesKorteweg-de Vries equationgravity wavesrotation-modified Korteweg-de Vries equation

Mathematics Subject Classification ID

Related Items (8)

High accuracy numerical methods for the Gardner-Ostrovsky equation ⋮ Hamiltonian description of internal ocean waves with Coriolis force ⋮ Numerical integration of the Ostrovsky equation based on its geometric structures ⋮ Conservative numerical schemes for the Ostrovsky equation ⋮ Linear stability of weak-compacton solutions to the nonlinear dispersive Ostrovsky equation ⋮ Symmetry and uniqueness of the solitary-wave solution for the Ostrovsky equation ⋮ On soliton structure of isospectral Vakhnenko equation: WKI-eigenvalue problem ⋮ The Cauchy problem for the Ostrovsky equation with positive dispersion

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