Integrability of the Frobenius algebra-valued Kadomtsev-Petviashvili hierarchy

DOI10.1063/1.4935936zbMath1327.35344arXiv1511.05245OpenAlexW2269337355MaRDI QIDQ3457178

Dafeng Zuo, Ian A. B. Strachan

Publication date: 10 December 2015

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

Full work available at URL: https://arxiv.org/abs/1511.05245

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) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items (18)

On (t2, t3)-Zakharov–Shabat equations of generalized Kadomtsev–Petviashvili hierarchies ⋮ Frobenius manifolds and Frobenius algebra-valued integrable systems ⋮ Free-field realizations of the W_{𝒜 n , N} -algebra ⋮ Strongly coupled B-type universal characters and hierarchies ⋮ Coupled KP and BKP hierarchies and the corresponding symmetric functions ⋮ Liouville integrability and explicit solutions for a Frobenius‐coupled integrable lattice hierarchy ⋮ A kind of generalized integrable couplings and their bi-Hamiltonian structure ⋮ The Frobenius-Virasoro algebra and Euler equations. II: Multi-component cases ⋮ A kind of nonisospectral and isospectral integrable couplings and their Hamiltonian systems ⋮ Multicomponent fractional Volterra hierarchy and its subhierarchy with Virasoro symmetry ⋮ LIE SYMMETRY ANALYSIS TO THE WEAKLY COUPLED KAUP–KUPERSHMIDT EQUATION WITH TIME FRACTIONAL ORDER ⋮ Three types generalized \(Z_n\)-Heisenberg ferromagnet models ⋮ Residual symmetries and Bäcklund transformations of \((2+1)\)-dimensional strongly coupled Burgers system ⋮ A new multi-component integrable coupling and its application to isospectral and nonisospectral problems ⋮ A weakly coupled Hirota equation and its rogue waves ⋮ Hamiltonian Structures and Integrability of Frobenius Algebra-Valued (n, m)^th KdV Hierarchy ⋮ The Cauchy problem of the Kadomtsev-Petviashvili hierarchy with arbitrary coefficient algebra ⋮ Application of Riemann-Hilbert method to an extended coupled nonlinear Schrödinger equations

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