Classical Liouville completely integrable systems associated with the solutions of Boussinesq–Burgers’ hierarchy

DOI10.1063/1.528723zbMath0714.58023OpenAlexW2024740833MaRDI QIDQ3200281

Zhuquan Gu

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1063/1.528723

zbMATH Keywords

integrable Boussinesq-Burgers partial derivative equationsintegrable finite-dimensional Hamiltonian systems

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)

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Cites Work

• On the integrable variant of the Boussinesq system: Painlevé property, rational solutions, a related many-body system, and equivalence with the AKNS hierarchy
• Mathematics of dispersive water waves
• Bi-Hamiltonian formulation of the Kadomtsev–Petviashvili and Benjamin–Ono equations
• Periodic solutions of the KdV equation
• Almost Periodic Solutions of the KdV Equation
• Rational and elliptic solutions of the korteweg-de vries equation and a related many-body problem