The Kaup–Broer system and trilinear odes of Painlevé type

DOI10.1063/1.530714zbMath0818.35110OpenAlexW2035397350MaRDI QIDQ4327273

Walter Strampp

Publication date: 5 April 1995

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

Full work available at URL: https://doi.org/10.1063/1.530714

zbMATH Keywords

reductionKP hierarchy\(\tau\)-functionWronskian solutions

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) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (2)

Bilinear forms and Bäcklund transformations of the perturbation systems ⋮ Differential polynomial expressions related to the Kadomtsev–Petviashvili and Korteweg–de Vries hierarchies

Cites Work

• Constrained KP hierarchy and bi-Hamiltonian structures
• Darboux theorems and Wronskian formulas for integrable systems. I: Constrained KP flows
• Mathematics of dispersive water waves
• A Higher-Order Water-Wave Equation and the Method for Solving It
• A unified approach to recursion operators if the reduced (1 + 1)-dimensional Hamiltonian systems
• (1+1)-dimensional Hamiltonian systems as symmetry constraints of the Kadomtsev-Petviashvili equation
• Constraints of the Kadomtsev–Petviashvili hierarchy
• Approximate equations for long water waves

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