Time-domain evolution equation for dispersive nonlinear Rayleigh waves

Won Suk Ohm, Mark F. Hamilton

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

Korteweg-de Vries (KdV) and Benjamin-Ono (BO) equations are often cited as time-domain models for nonlinear Rayleigh waves in a dispersive medium such as a coated substrate. However, these canonical equations do not account for the nonlocal nonlinearity that is a hallmark of surface acoustic waves. In this paper, a time-domain evolution equation derived for nonlinear Rayleigh waves in nondispersive isotropic media [Hamilton, Il'insky, and Zabolotskaya, J. Acoust. Soc. Am. 97, 891-897 (1995)] is extended to include dispersion due to thin-film coating. It is demonstrated that a class of soliton-like solutions resembling Mexican hats satisfies the evolution equation for the case of KdV-type dispersion, a result obtained previously by Eckl et al. [Phys. Rev. E 70, 046604 (2004)] from a frequency-domain form of the evolution equation.

Original languageEnglish
Title of host publicationINNOVATIONS IN NONLINEAR ACOUSTICS - ISNA 17
Subtitle of host publication17th International Symposium on Nonlinear Acoustics including the International Sonic Boom Forum
Pages139-142
Number of pages4
DOIs
Publication statusPublished - 2006 Dec 1
EventINNOVATIONS IN NONLINEAR ACOUSTICS - ISNA17: 17th International Symposium on Nonlinear Acoustics including the International Sonic Boom Forum - State College, PA, United States
Duration: 2005 Jul 182005 Jul 22

Publication series

NameAIP Conference Proceedings
Volume838
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

OtherINNOVATIONS IN NONLINEAR ACOUSTICS - ISNA17: 17th International Symposium on Nonlinear Acoustics including the International Sonic Boom Forum
CountryUnited States
CityState College, PA
Period05/7/1805/7/22

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All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

Ohm, W. S., & Hamilton, M. F. (2006). Time-domain evolution equation for dispersive nonlinear Rayleigh waves. In INNOVATIONS IN NONLINEAR ACOUSTICS - ISNA 17: 17th International Symposium on Nonlinear Acoustics including the International Sonic Boom Forum (pp. 139-142). (AIP Conference Proceedings; Vol. 838). https://doi.org/10.1063/1.2210335