DKP and MDKP hierarchy of soliton equations

DOI10.1016/0167-2789(91)90009-XzbMath0743.35064MaRDI QIDQ1179054

Yuching You

Publication date: 26 June 1992

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

soliton equationsrepresentations of Lie algebrasDKP hierarchy

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51)

Related Items

Modified DKP hierarchy as modified BKP hierarchy ⋮ Multi-component universal character hierarchy and its polynomial tau-functions ⋮ Multicomponent KP type hierarchies and their reductions, associated to conjugacy classes of Weyl groups of classical Lie algebras ⋮ Polynomial tau-functions of the orthogonal KP, multicomponent orthogonal KP and BUC hierarchies ⋮ Linear transformations of vertex operators of Hall-Littlewood polynomials ⋮ Linear transformations of vertex operators presentations of coupled Hall-Littlewood functions ⋮ On some identities of Schur \(Q\)-functions ⋮ Generalized \(Q\)-functions and \(UC\) hierarchy of \(B\)-type ⋮ Polynomial tau-functions of BKP and DKP hierarchies ⋮ Quantum W1+∞ subalgebras of BCD type and symmetric polynomials ⋮ Multiparameter Schur \(Q\)-functions are solutions of the BKP hierarchy ⋮ Polynomial tau-functions of the KP, BKP, and the s-component KP hierarchies

Cites Work

• Solitons and infinite dimensional Lie algebras
• Shifted tableaux and the projective representations of symmetric groups
• On some identities of Schur \(Q\)-functions
• KP Hierarchies of Orthogonal and Symplectic Type–Transformation Groups for Soliton Equations VI–
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