9 citations · 10 across the 3 of their papers we have counts for
5 papers
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…
A note on the generalized Weierstrass representation
L. Martina, Kur. Myrzakul, R. Myrzakulov
The study of the relation between the Weierstrass inducing formulae for constant mean curvature surfaces and the completely integrable euclidean nonlinear sigma-model suggests a co…
Exotic galilean symmetry in non-commutative field theory
P. A. Horvathy, L. Martina
The non-relativistic version of the non commutative Field Theory, recently introduced by Lozano, Moreno and Schaposnik [1], is shown to admit the ``exotic'' Galilean symmetry found…
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…