NEW SINGULARITIES AND PERESTROIKAS OF FRONTS OF LINEAR WAVES

被引：5

作者：

Bogaevsky, Ilya A. ^{[1
]}

机构：

[1] Independent Univ Moscow, Moscow 121002, Russia

来源：

MOSCOW MATHEMATICAL JOURNAL | 2003年 / 3卷 / 03期

关键词：

Singularity; perestroika; front; contact structure; Legendre submanifold; Legendre fibration;

D O I：

10.17323/1609-4514-2003-3-3-807-821

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：807 / 821

页数：15

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