The potential constraints of the KP system and the corresponding Hamiltonian equations

DOI10.1063/1.530810zbMath0818.35102OpenAlexW1983314820MaRDI QIDQ4327203

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Publication date: 5 April 1995

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

Full work available at URL: https://doi.org/10.1063/1.530810

zbMATH Keywords

Hamiltonian equationsAKNS systemKP systemNS system

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Cites Work

• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
• The constraints of potentials and the finite-dimensional integrable systems
• Constraints of the 2+1 dimensional integrable soliton systems
• Integrability of Nonlinear Hamiltonian Systems by Inverse Scattering Method

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