Singularities of wave fronts at the boundary between two media

Oleg Myasnichenko

Banach Center Publications (1996)

  • Volume: 33, Issue: 1, page 235-244
  • ISSN: 0137-6934

How to cite


Myasnichenko, Oleg. "Singularities of wave fronts at the boundary between two media." Banach Center Publications 33.1 (1996): 235-244. <>.

author = {Myasnichenko, Oleg},
journal = {Banach Center Publications},
keywords = {Cauchy problem; manifolds of jets; Legendre singularities},
language = {eng},
number = {1},
pages = {235-244},
title = {Singularities of wave fronts at the boundary between two media},
url = {},
volume = {33},
year = {1996},

AU - Myasnichenko, Oleg
TI - Singularities of wave fronts at the boundary between two media
JO - Banach Center Publications
PY - 1996
VL - 33
IS - 1
SP - 235
EP - 244
LA - eng
KW - Cauchy problem; manifolds of jets; Legendre singularities
UR -
ER -


  1. [1] V. I. Arnold and A. B. Givental, Symplectic geometry, Itogi Nauki, Contemporary Problems in Mathematics 4 (1985), 7-139 (in Russian). 
  2. [2] V. I. Arnold, S. M. Gusein-Zade and A. N. Varchenko, Singularities of Differentiable Maps, Vol. 1, Nauka, Moscow, 1982 (in Russian); English transl.: Birkhäuser, 1985. Zbl1297.32001
  3. [3] M. E. Kazarian, Caustics D k at points of interface between two media, in: Symplectic Geometry, London Math. Soc. Lecture Note Ser. 192, Cambridge Univ. Press, 1993, 115-125. 
  4. [4] O. M. Myasnichenko, Points of complete reflection and wave fronts at points of the boundary between two media, Izv. Ross. Akad. Nauk Ser. Mat. 58 (2) (1994), 132-151. 
  5. [5] V. M. Zakalyukin, Perestroikas of fronts and caustics depending on parameters and versality of mappings, Itogi Nauki i Tekhn. VINITI Sovr. Probl. Mat. 22 (1983), 56-93 (in Russian); English transl.: J. Soviet Math. 27 (1984), 2713-2735. 

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