Solitary waves in an elastic rod: analytical solutions

T. Bui Dinh; V. Cao Long; W. Leoński

doi:10.1117/12.2006521

18 December 2012 Solitary waves in an elastic rod: analytical solutions

T. Bui Dinh, V. Cao Long, W. Leoński

Proceedings Volume 8697, 18th Czech-Polish-Slovak Optical Conference on Wave and Quantum Aspects of Contemporary Optics; 86972D (2012) https://doi.org/10.1117/12.2006521
Event: 18th Czech-Polish-Slovak Optical Conference on Wave and Quantum Aspects of Contemporary Optics, 2012, Ostravice, Czech Republic

Abstract

In this paper we consider a generalized double dispersion equation of Porubov’s type^4,5. 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 authors^4,5. It will be shown that our analytical solutions describe very well the results obtained by numerical simulations⁶.

Citation Download Citation

T. Bui Dinh, V. Cao Long, and W. Leoński "Solitary waves in an elastic rod: analytical solutions", Proc. SPIE 8697, 18th Czech-Polish-Slovak Optical Conference on Wave and Quantum Aspects of Contemporary Optics, 86972D (18 December 2012); https://doi.org/10.1117/12.2006521

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