Towards noncommutative integrable systems
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Publication:1405863
DOI10.1016/S0375-9601(03)01138-1zbMath1031.37046arXivhep-th/0211148OpenAlexW2055163702MaRDI QIDQ1405863
Kouichi Toda, Masashi Hamanaka
Publication date: 7 September 2003
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/0211148
Yang-Mills and other gauge theories in quantum field theory (81T13) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Noncommutative geometry methods in quantum field theory (81T75)
Related Items (28)
On the structure of (2+1)-dimensional commutative and noncommutative integrable equations ⋮ On the algebra of \(q\)-deformed pseudodifferential operators ⋮ Non-commutative Ward's conjecture and integrable systems ⋮ On modified \(B\)KP systems and generalizations ⋮ Exact construction of noncommutative instantons ⋮ Integrable discretisations for a class of nonlinear Schrödinger equations on Grassmann algebras ⋮ Lax pair representation and Darboux transformation of noncommutative Painlevé's second equation ⋮ Scattering of noncommutative waves and solitons in a supersymmetric chiral model in \(2 + 1\) dimensions ⋮ DARBOUX TRANSFORMATION AND MULTI-SOLITON SOLUTIONS OF A NONCOMMUTATIVE SINE–GORDON SYSTEM ⋮ Time-space noncommutative abelian solitons ⋮ On reductions of noncommutative anti-self-dual Yang-Mills equations ⋮ Soliton scattering in noncommutative spaces ⋮ On the \(3D\) consistency of a Grassmann extended lattice Boussinesq system ⋮ Quasideterminant solutions of NC Painlevé II equation with the Toda solution at \(n = 1\) as a seed solution in its Darboux transformation ⋮ Noncommutative inverse scattering method for the Kontsevich system ⋮ Symmetries and Reductions on the noncommutative Kadomtsev-Petviashvili and Gelfand-Dickey hierarchies ⋮ Non-isospectral flows of noncommutative differential-difference KP equation ⋮ Generalized dressing method for the extended two-dimensional Toda lattice hierarchy and its reductions ⋮ Matrix Toda and Volterra lattices ⋮ Noncommutative Korteweg–de Vries and modified Korteweg–de Vries hierarchies via recursion methods ⋮ Random half-order differential correlation functions ⋮ EXTENDED BOTT–VIRASORO ALGEBRA, SEMIDIRECT PRODUCT, ⋆-LIE ALGEBRA OF DIFFEOMORPHISM AND NONCOMMUTATIVE INTEGRABLE SYSTEMS ⋮ Virasoro action on pseudo-differential symbols and (noncommutative) supersymmetric peakon type integrable systems ⋮ Multi-soliton dynamics of anti-self-dual gauge fields ⋮ An extended noncommutative KP hierarchy ⋮ Commuting flows and conservation laws for noncommutative Lax hierarchies ⋮ Soliton solutions of noncommutative anti-self-dual Yang–Mills equations ⋮ On integrability of a noncommutative \(q\)-difference two-dimensional Toda lattice equation
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