On geometry of fronts in wave propagations

Susumu Tanabé

Banach Center Publications (1999)

  • Volume: 50, Issue: 1, page 287-304
  • ISSN: 0137-6934

Abstract

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We give a geometric descriptions of (wave) fronts in wave propagation processes. Concrete form of defining function of wave front issued from initial algebraic variety is obtained by the aid of Gauss-Manin systems associated with certain complete intersection singularities. In the case of propagations on the plane, we get restrictions on types of possible cusps that can appear on the wave front.

How to cite

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Tanabé, Susumu. "On geometry of fronts in wave propagations." Banach Center Publications 50.1 (1999): 287-304. <http://eudml.org/doc/209015>.

@article{Tanabé1999,
abstract = {We give a geometric descriptions of (wave) fronts in wave propagation processes. Concrete form of defining function of wave front issued from initial algebraic variety is obtained by the aid of Gauss-Manin systems associated with certain complete intersection singularities. In the case of propagations on the plane, we get restrictions on types of possible cusps that can appear on the wave front.},
author = {Tanabé, Susumu},
journal = {Banach Center Publications},
keywords = {initial algebraic variety; Gauss-Manin systems},
language = {eng},
number = {1},
pages = {287-304},
title = {On geometry of fronts in wave propagations},
url = {http://eudml.org/doc/209015},
volume = {50},
year = {1999},
}

TY - JOUR
AU - Tanabé, Susumu
TI - On geometry of fronts in wave propagations
JO - Banach Center Publications
PY - 1999
VL - 50
IS - 1
SP - 287
EP - 304
AB - We give a geometric descriptions of (wave) fronts in wave propagation processes. Concrete form of defining function of wave front issued from initial algebraic variety is obtained by the aid of Gauss-Manin systems associated with certain complete intersection singularities. In the case of propagations on the plane, we get restrictions on types of possible cusps that can appear on the wave front.
LA - eng
KW - initial algebraic variety; Gauss-Manin systems
UR - http://eudml.org/doc/209015
ER -

References

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