On the nonlinear stability of solitary wave solutions of the fifth-order Korteweg-de Vries equation

DOI10.1016/S0375-9601(99)00712-4zbMath0938.35163OpenAlexW2018709233MaRDI QIDQ1967049

Frédéric Dias, Evgenii Kuznetsov

Publication date: 8 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(99)00712-4

zbMATH Keywords

Hamiltoniansolitary wave solutionfifth-order Korteweg-de Vries equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45)

Related Items

Pontryagin's theorem and spectral stability analysis of solitons, Semi-stability of embedded solitons in the general fifth-order KdV equation, Deep-water internal solitary waves near critical density ratio, Physical parameters of solitary wave packets in shallow basins under ice cover, Stability and instability of solitary waves of the fifth-order KdV equation: a numerical framework, Computing the Maslov index of solitary waves. I: Hamiltonian systems on a four-dimensional phase space

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