The Kadomtsev-Petviashvili hierarchy and the Mulase factorization of formal Lie groups

DOI10.3934/jgm.2013.5.345zbMath1330.37061OpenAlexW2025655726MaRDI QIDQ380709

Anahita Eslami Rad, Enrique G. Reyes

Publication date: 14 November 2013

Published in: Journal of Geometric Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jgm.2013.5.345

zbMATH Keywords

\(r\)-matricesformal Lie groupsKadomtsev-Petviashvili hierarchyMulase factorization theoremReyman-Semenov-Tian-Shansky integration theorem

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) Applications of Lie algebras and superalgebras to integrable systems (17B80) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (8)

Formal pseudodifferential operators in one and several variables, central extensions, and integrable systems ⋮ Frölicher structures, diffieties, and a formal KP hierarchy ⋮ Well-posedness of the Kadomtsev-Petviashvili hierarchy, Mulase factorization, and Frölicher Lie groups ⋮ Diffeologies and generalized Kadomtsev-Petviashvili hierarchies ⋮ Equations of Camassa-Holm type and the geometry of loop groups ⋮ On the Kadomtsev-Petviashvili hierarchy in an extended class of formal pseudo-differential operators ⋮ Massey products, A_∞-algebras, differential equations, and Chekanov homology ⋮ The Cauchy problem of the Kadomtsev-Petviashvili hierarchy with arbitrary coefficient algebra

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