Geodesic
Transmission of narrow sound beams in nonlinear environment
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2016), pp. 45-51 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

In the paper we consider the problem of the transmission of limited sound beams. The transmission of such beams is described by a nonlinear partial differential equation. In the paper we solve this equation by the lattice characteristics method. Some numerical results are obtained for a special case.
Keywords: sound waves, difference schemes. 
@article{UZERU_2016_1_a7,
     author = {S. M. Manukyan and A. A. Butavyan and H. M. Manukyan},
     title = {Transmission of narrow sound beams in nonlinear environment},
     journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
     pages = {45--51},
     year = {2016},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UZERU_2016_1_a7/}
}
TY  - JOUR
AU  - S. M. Manukyan
AU  - A. A. Butavyan
AU  - H. M. Manukyan
TI  - Transmission of narrow sound beams in nonlinear environment
JO  - Proceedings of the Yerevan State University. Physical and mathematical sciences
PY  - 2016
SP  - 45
EP  - 51
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/UZERU_2016_1_a7/
LA  - en
ID  - UZERU_2016_1_a7
ER  - 
%0 Journal Article
%A S. M. Manukyan
%A A. A. Butavyan
%A H. M. Manukyan
%T Transmission of narrow sound beams in nonlinear environment
%J Proceedings of the Yerevan State University. Physical and mathematical sciences
%D 2016
%P 45-51
%N 1
%U http://geodesic.mathdoc.fr/item/UZERU_2016_1_a7/
%G en
%F UZERU_2016_1_a7
S. M. Manukyan; A. A. Butavyan; H. M. Manukyan. Transmission of narrow sound beams in nonlinear environment. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2016), pp. 45-51. http://geodesic.mathdoc.fr/item/UZERU_2016_1_a7/

[1] S.K. Godunov, Numerical Solving Many-Dimensional Problems of Gas Dynamics, Nauka, M., 1976 (in Russian)

[2] A.A. Samarski, Yu.P. Popov, Difference Methods of Solving Gas Dynamics Problems, Nauka, M., 1980 (in Russian) | MR

[3] A.A. Samarski, Theory of Difference Schemes, M., 1977 (in Russian) | MR

[4] N.S. Bahvalov, Ya.M. Zhileikin, E.A. Zabolotskaya, Nonlinear Theory of Sound Beams, Contemporary Problems of Physics, M., 1982 (in Russian)

[5] I.B. Petrov, A.I. Lobanov, Lectures on Computational Mathematics, M., 2010 (in Russian)

[6] E.O. Vorozhtsov, Difference Methods of Solving Problems of Continuum Solid Mechanics, Novosibirsk, 1988 (in Russian)