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2012 Issue №04

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Algebra method of the construction of the Maxwell equations in a 2D inhomogeneous dielectric



We study discrete isospectral symmetries for the linear problem in spatial dimensions two, by developing a Darboux (Moutard) transformation formalism for this problem. As an application, we construct some singular and nonsingular integrable potentials (dielectric permitivity) for the Maxwell equations in a 2D inhomogeneous medium.


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