Share Email Print
cover

Proceedings Paper

Solitary waves in an elastic rod: analytical solutions
Format Member Price Non-Member Price
PDF $14.40 $18.00

Paper Abstract

In this paper we consider a generalized double dispersion equation of Porubov’s type4,5. which describes the propagation of the longitudinal strain waves in the rod. By analogy with the optical case2, the higher orders of nonlinearity have been included which leads to an interesting class of traveling solitary waves for both cases: without cubic nonlinearity and with its presence. The F-expansion method described in3 has been used. As a byproduct, we obtain the results given previously by other authors4,5. It will be shown that our analytical solutions describe very well the results obtained by numerical simulations6.

Paper Details

Date Published: 18 December 2012
PDF: 8 pages
Proc. SPIE 8697, 18th Czech-Polish-Slovak Optical Conference on Wave and Quantum Aspects of Contemporary Optics, 86972D (18 December 2012); doi: 10.1117/12.2006521
Show Author Affiliations
T. Bui Dinh, Univ. of Zielona Gora (Poland)
V. Cao Long, Univ. of Zielona Gora (Poland)
W. Leoński, Univ. of Zielona Gora (Poland)


Published in SPIE Proceedings Vol. 8697:
18th Czech-Polish-Slovak Optical Conference on Wave and Quantum Aspects of Contemporary Optics
Jan Peřina; Libor Nozka; Miroslav Hrabovský; Dagmar Senderáková; Waclaw Urbańczyk; Ondrej Haderka; Libor Nožka, Editor(s)

© SPIE. Terms of Use
Back to Top