The Riemann–Liouville integral and continuous KP hierarchy

DOI10.1063/1.530973zbMath0842.35104OpenAlexW1980980324MaRDI QIDQ4873506

Jarosław Gawrylczyk

Publication date: 5 May 1996

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

Full work available at URL: https://doi.org/10.1063/1.530973

zbMATH Keywords

Riemann-Liouville integralKadomtsev-Petviashvili hierarchyfractional calculus leads

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)

Cites Work

• Hamiltonian structure of M. Sato's hierarchy of Kadomtsev-Petviashvili equation
• Intertwining operators for solving differential equations, with applications to symmetric spaces
• Lie algebras and equations of Korteweg-de Vries type
• Unitary representations of the Virasoro and super-Virasoro algebras
• Loop groups and equations of KdV type
• A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy
• Characterization of Jacobian varieties in terms of soliton equations
• The structure of the \(W_ \infty\) algebra
• Generalized Drinfel'd-Sokolov hierarchies
• Integration of nonlinear equations by the methods of algebraic geometry
• On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
• Algebraic study on the super-KP hierarchy and the ortho-symplectic super- KP hierarchy
• The geometry of the super KP flows
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons

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