Virasoro action on pseudo-differential symbols and (noncommutative) supersymmetric peakon type integrable systems
DOI10.1007/s10440-008-9310-7zbMath1220.37052OpenAlexW2139609135MaRDI QIDQ1037621
Publication date: 16 November 2009
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10440-008-9310-7
geodesic flowCamassa-Holm equationpseudo-differential symbolsMoyal deformationnon-commutative integrable systemssuper \(b\)-fields equationssuper KdV
Virasoro and related algebras (17B68) 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) Pseudodifferential and Fourier integral operators on manifolds (58J40) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)
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