On the asymptotic integrability of a higher-order evolution equation describing internal waves in a deep fluid

DOI10.1063/1.531572zbMath0866.76020OpenAlexW2022232466MaRDI QIDQ5284795

Dmitry E. Pelinovsky, R. H. J. Grimshaw, Athanassios S. Fokas

Publication date: 22 January 1997

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

Full work available at URL: https://doi.org/10.1063/1.531572

zbMATH Keywords

complex Burgers equationfinite-dimensional dynamical systemenvelope-wave equationintegrable Benjamin-Ono equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Internal waves for incompressible inviscid fluids (76B55)

Related Items (2)

Perturbative analysis of wave interaction in nonlinear systems ⋮ The KdV hierarchy and the propagation of solitons on very long distances

Cites Work

• On a class of physically important integrable equations
• Nearly integrable systems
• Properties of the Benjamin–Ono equation
• A spectral transform for the intermediate nonlinear Schrödinger equation

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