Commuting flows and conservation laws for noncommutative Lax hierarchies
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Publication:3438408
DOI10.1063/1.1865321zbMath1110.81104arXivhep-th/0311206OpenAlexW3102560974MaRDI QIDQ3438408
Publication date: 16 May 2007
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/0311206
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)
Related Items (14)
On (t2, t3)-Zakharov–Shabat equations of generalized Kadomtsev–Petviashvili hierarchies ⋮ On the structure of (2+1)-dimensional commutative and noncommutative integrable equations ⋮ Non-commutative Ward's conjecture and integrable systems ⋮ A GENERALISATION OF WITTEN’S CONJECTURE FOR THE PIXTON CLASS AND THE NONCOMMUTATIVE KDV HIERARCHY ⋮ Lie bialgebroid of pseudo-differential operators ⋮ Extensions and generalizations of lattice Gelfand-Dickey hierarchy ⋮ Quasideterminant solutions of the extended noncommutative Kadomtsev-Petviashvili hierarchy ⋮ DARBOUX TRANSFORMATION AND MULTI-SOLITON SOLUTIONS OF A NONCOMMUTATIVE SINE–GORDON SYSTEM ⋮ On reductions of noncommutative anti-self-dual Yang-Mills equations ⋮ Soliton scattering in noncommutative spaces ⋮ Bi-Hamiltonian structure of the extended noncommutative Toda hierarchy ⋮ Virasoro action on pseudo-differential symbols and (noncommutative) supersymmetric peakon type integrable systems ⋮ An extended noncommutative KP hierarchy ⋮ Quadratic double ramification integrals and the noncommutative KdV hierarchy
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