Bicomplex formulation and Moyal deformation of (2+1)-dimensional Fordy-Kulish systems

DOI10.1088/0305-4470/34/12/305zbMath1103.37309arXivnlin/0008016OpenAlexW3099053525MaRDI QIDQ2747380

Aristophanes Dimakis, Folkert Mueller-Hoissen

Publication date: 2001

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0008016

zbMATH Keywords

conservation lawsmatrix nonlinear Schrödinger equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Geometry and quantization, symplectic methods (81S10) Noncommutative geometry in quantum theory (81R60)

Related Items (5)

BIDIFFERENTIAL CALCULI, BICOMPLEX STRUCTURE AND ITS APPLICATION TO BIHAMILTONIAN SYSTEMS ⋮ “Riemann equations” in bidifferential calculus ⋮ Non-commutative Ward's conjecture and integrable systems ⋮ On reductions of noncommutative anti-self-dual Yang-Mills equations ⋮ Commuting flows and conservation laws for noncommutative Lax hierarchies

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