Abstract:
The subject of the paper is the propagation of linear waves in plane and three-dimensional space. We describe some new (as compared with the $ADE$-classification) typical singularities and perestroikas of their fronts when the light hypersurface has conical singularities. Such singularities appear if the waves propagate in a non-homogeneous anisotropic medium and are controlled by a variational principle.
Key words and phrases:Singularity, perestroika, front, contact structure, Legendre submanifold, Legendre fibration.
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