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Burgers' equation in non-commutative space-time
L. Martina, O. K. Pashaev
The Moyal *-deformed noncommutative version of Burgers' equation is considered. Using the *-analog of the Cole-Hopf transformation, the linearization of the model in terms of the l…
Self-Dual Vortices in Chern-Simons Hydrodynamics
Oktay K. Pashaev, and Jyh-Hao Lee
The classical theory of non-relativistic charged particle interacting with U(1) gauge field is reformulated as the Schrödinger wave equation modified by the de-Broglie-Bohm quantum…
Topological Field Theory and Nonlinear -Models on Symmetric Spaces
L. Martina, O. K. Pashaev, G. Soliani
We show that the classical non-abelian pure Chern-Simons action is related to nonrelativistic models in (2+1)-dimensions, via reductions of the gauge connection in Hermitian symmet…
Chern-Simons Quantum Field Representation of Planar Ferromagnets
L. Martina, O. K. Pashaev, G. Soliani
We represent the two - dimensional planar classical continuous Heisenberg spin model as a constrained Chern-Simons gauged nonlinear Schrödinger system. The hamiltonian structure of…