Perturbation theory for the Benjamin-Ono equation

DOI10.1088/0266-5611/15/1/022zbMath0921.35129OpenAlexW2108596856MaRDI QIDQ4237175

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Publication date: 29 September 1999

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/eada208dd39c14d495b55274f16172a1c0429f99

zbMATH Keywords

inverse scattering transformPoisson bracketcomplete integrabilityexplicit first-order solutionvariation of the potentialvariations of the scattering data

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) Inverse problems for PDEs (35R30) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (7)

The Lyapunov stability of the N-soliton solutions in the Lax hierarchy of the Benjamin-Ono equation ⋮ Dynamics of solutions in the generalized Benjamin-Ono equation: a numerical study ⋮ Error propagation when approximating multi-solitons: The KdV equation as a case study ⋮ Numerical and perturbative computations of solitary waves of the Benjamin-Ono equation with higher order nonlinearity using Christov rational basis functions ⋮ Benjamin-Ono and Intermediate Long Wave Equations: Modeling, IST and PDE ⋮ Broer-Kaup system with corrections via inverse scattering transform ⋮ Squared eigenfunctions for the Sasa–Satsuma equation

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