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math-ph2007★ 6 cited
Conservation laws for the Maxwell-Dirac equations with a dual Ohm's law
Nail H. Ibragimov, Raisa Khamitova, Bo Thidé
Using a general theorem on conservation laws for arbitrary differential equations proved by Ibragimov, we have derived conservation laws for Dirac's symmetrized Maxwell-Lorentz equ…
math-ph2001
Symmetries of Integro-Differential Equations: A Survey of Methods Illustrated by the Benney Equations
N. H. Ibragimov, V. F. Kovalev, V. V. Pustovalov
Classical Lie group theory provides a universal tool for calculating symmetry groups for systems of differential equations. However Lie's method is not as much effective in the cas…