On the modified constrained Kadomtsev–Petviashvili equations

DOI10.1063/1.4758124zbMath1297.37035OpenAlexW1994921713MaRDI QIDQ2872326

Zhiwei Wu

Publication date: 14 January 2014

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

Full work available at URL: https://doi.org/10.1063/1.4758124

zbMATH Keywords

bi-Hamiltonian structureBäcklund transformation\(\tau\)-functionKadomtsev-Petviashvili equationsoliton hierarchy

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Cites Work

• Unnamed Item
• The \(n \times n\) KdV hierarchy
• Modifying Lax equations and the second Hamiltonian structure
• On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
• Soliton equations and differential geometry
• Constraints of the Kadomtsev–Petviashvili hierarchy
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• Constrained KP models as integrable matrix hierarchies
• Bäcklund transformations and loop group actions

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