The multi-component modified KP hierarchy from modified BKP hierarchy

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Groups and algebras in quantum theory and relations with integrable systems (81R12) Quantum theory (81-XX) Relativity and gravitational theory (83-XX)

Cites Work

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Super boson-fermion correspondence
Solitons and infinite dimensional Lie algebras
Multi-component supersymmetric D type Drinfeld-Sokolov hierarchy and its Virasoro symmetry
Transformation groups for soliton equations. Euclidean Lie algebras and reduction of the KP hierarchy
On the super-KP hierarchy
Free fermions and tau-functions
On a categorical Boson-Fermion correspondence
Super Hirota bilinear equations for the super modified BKP hierarchy
\(SW_{1+\infty}\) symmetries of \(N = 2\) supersymmetric CKP hierarchy and its multicomponent generalization
\(N = 2\) supersymmetric BKP hierarchy with \(SW_{1+\infty}\) symmetries and its multicomponent generalization
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Matrix modified Kadomtsev-Petviashvili hierarchy
A categorification of the boson-fermion correspondence via representation theory of \(sl(\infty)\)
Bilinear equations in Darboux transformations by boson-fermion correspondence
Bombay Lectures on Highest Weight Representations of Infinite Dimensional Lie Algebras
Bäcklund–Darboux transformations for the coupled KP hierarchy
Operator Approach to the Kadomtsev-Petviashvili Equation–Transformation Groups for Soliton Equations III–
The n-component KP hierarchy and representation theory
CKP hierarchy and free bosons
Symmetries of the multi-component supersymmetric (ABC)-type KP hierarchies
The W1+∞(gl s)-symmetries of the s-component KP hierarchy
Bilinear Identities and Squared Eigenfunction Symmetries of the BC _r -KP Hierarchy
Super modified KP hierarchy in Kac–van de Leur construction
Multicomponent KP type hierarchies and their reductions, associated to conjugacy classes of Weyl groups of classical Lie algebras
Darboux transformations of the modified BKP hierarchy by fermionic approach
Boson–Fermion correspondence of the multi-component constrained mKP hierarchy

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