Dispersionless noncommutative Kadomtsev-Petviashvili hierarchy: multi-Hamiltonian structure and large N-like V-algebras

DOI10.1016/j.physleta.2006.02.036zbMath1181.37103OpenAlexW2022031635MaRDI QIDQ2267233

Ning Wang, Xiaowen Zhang

Publication date: 1 March 2010

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2006.02.036

zbMATH Keywords

multi-Hamiltonian structure\(l\)-reductiondispersionless noncommutative KP hierarchylarge \(N\)-like V-algebra

Mathematics Subject Classification ID

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

Related Items (1)

Additional symmetries of the dispersionless extended noncommutative Gelfand–Dickey hierarchy

Cites Work

• A geometry for multidimensional integrable systems
• The dispersionless Lax equations and topological minimal models
• Nonabelian KP hierarchy with Moyal algebraic coefficients
• Classical \(R\)-matrices on Poisson algebras and related dispersionless systems
• Classical \(r\)-matrices and compatible Poisson structures for Lax equations on Poisson algebras
• Non-abelian Toda theory: A completely integrable model for strings on a black hole background
• Explorations of the extended ncKP hierarchy
• INTEGRABLE HIERARCHIES AND DISPERSIONLESS LIMIT

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