Bi-Hamiltonian formulation of the Kadomtsev–Petviashvili and Benjamin–Ono equations

DOI10.1063/1.527999zbMath0695.35184OpenAlexW2061948950MaRDI QIDQ3470957

Athanassios S. Fokas, Paolo Maria Santíni

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1063/1.527999

zbMATH Keywords

bi-Hamiltonian formulation

Mathematics Subject Classification ID

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) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

Integrable systems associated with the Schrödinger spectral problem in the plane, Hierarchies of nonlinear integrable equations and their symmetries in \(2+1\) dimensions, Some remarks on symmetries, dressing, and virasoro action, Classical Liouville completely integrable systems associated with the solutions of Boussinesq–Burgers’ hierarchy, Multi-component Wronskian solution to the Kadomtsev-Petviashvili equation, \({\mathcal R}\)-matrix approach to multi-Hamiltonian Lax dynamics, Symmetries, sato theory, and tau functions, Infinitely many Lax pairs and symmetry constraints of the KP equation, Lie algebraic approach to the construction of (2+1)-dimensional lattice-field and field integrable Hamiltonian equations, Yang-Baxter equations and intermediate long wave hierarchies, Analysis and applications of the symmetry group of the multidimensional three-wave resonant interaction problem, A bilocal periodic problem for the Sturm-Liouville and Dirac operators and some applications to the theory of nonlinear dynamical systems. I

Cites Work

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• The Inverse Scattering Transform for the Benjamin‐Ono Equation—A Pivot to Multidimensional Problems
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