Singularities of wave fronts at the boundary between two media

• Autorzy: Oleg Myasnichenko
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1996
• Tom: 33
• Numer: 1
• Strony: 235-244

Daty

wydano

1996

Twórcy

autor

Oleg Myasnichenko

• Moscow Aviation Institute, Volokolamskoe shosse 4, 125871, Moscow, Russia

Bibliografia

• [1] V. I. Arnold and A. B. Givental, Symplectic geometry, Itogi Nauki, Contemporary Problems in Mathematics 4 (1985), 7-139 (in Russian).
• [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.
• [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] 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] 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.