Strongly coupled B-type universal characters and hierarchies

DOI10.1134/S0040577919120067zbMath1445.37047OpenAlexW3000472796MaRDI QIDQ2190186

Yanyan Li

Publication date: 18 June 2020

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577919120067

zbMATH Keywords

Schur \(Q\)-functionB-type universal characterstrongly coupled B-type universal character hierarchystrongly coupled BKP hierarchy

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51)

Related Items

Multiparameter universal characters of B-type and integrable hierarchy ⋮ Plethystic B-type KP and universal character hierarchies ⋮ Multi-component universal character hierarchy and its polynomial tau-functions ⋮ Symmetric universal character, integrable hierarchy, and affine Yangian of \(\mathfrak{gl}(1)\) ⋮ Littlewood-Richardson rule for generalized Schur Q-functions ⋮ Polynomial tau-functions of the orthogonal KP, multicomponent orthogonal KP and BUC hierarchies ⋮ Coupled KP and BKP hierarchies and the corresponding symmetric functions ⋮ \(q\)-universal characters and an extension of the lattice \(q\)-universal characters ⋮ Two-component symplectic universal characters and integrable hierarchies

Cites Work

• Virasoro symmetry of the constrained multicomponent Kadomtsev-Petviashvili hierarchy and its integrable discretization
• On an integrable system of \(q\)-difference equations satisfied by the universal characters: its Lax formalism and an application to \(q\)-Painlevé equations
• Generalized \(Q\)-functions and \(UC\) hierarchy of \(B\)-type
• Universal characters and an extension of the KP hierarchy
• A Method for Finding N-Soliton Solutions of the K.d.V. Equation and K.d.V.-Like Equation
• FROM KP/UC HIERARCHIES TO PAINLEVÉ EQUATIONS
• Gauge transformation and symmetries of the commutative multicomponent BKP hierarchy
• Integrability of the Frobenius algebra-valued Kadomtsev-Petviashvili hierarchy
• Method for Generating Discrete Soliton Equations. IV
• Affine Weyl group symmetries of Frobenius Painlevé equations

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