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 language | English |
|---|---|
| Title of host publication | INNOVATIONS IN NONLINEAR ACOUSTICS - ISNA 17 |
| Subtitle of host publication | 17th International Symposium on Nonlinear Acoustics including the International Sonic Boom Forum |
| Pages | 139-142 |
| Number of pages | 4 |
| DOIs | |
| Publication status | Published - 2006 Dec 1 |
| Event | INNOVATIONS IN NONLINEAR ACOUSTICS - ISNA17: 17th International Symposium on Nonlinear Acoustics including the International Sonic Boom Forum - State College, PA, United States Duration: 2005 Jul 18 → 2005 Jul 22 |
Publication series
| Name | AIP Conference Proceedings |
|---|---|
| Volume | 838 |
| ISSN (Print) | 0094-243X |
| ISSN (Electronic) | 1551-7616 |
Other
| Other | INNOVATIONS IN NONLINEAR ACOUSTICS - ISNA17: 17th International Symposium on Nonlinear Acoustics including the International Sonic Boom Forum |
|---|---|
| Country | United States |
| City | State College, PA |
| Period | 05/7/18 → 05/7/22 |
Fingerprint
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)
Cite this
}
Time-domain evolution equation for dispersive nonlinear Rayleigh waves. / Ohm, Won Suk; Hamilton, Mark F.
INNOVATIONS IN NONLINEAR ACOUSTICS - ISNA 17: 17th International Symposium on Nonlinear Acoustics including the International Sonic Boom Forum. 2006. p. 139-142 (AIP Conference Proceedings; Vol. 838).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
TY - GEN
T1 - Time-domain evolution equation for dispersive nonlinear Rayleigh waves
AU - Ohm, Won Suk
AU - Hamilton, Mark F.
PY - 2006/12/1
Y1 - 2006/12/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=33845990283&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33845990283&partnerID=8YFLogxK
U2 - 10.1063/1.2210335
DO - 10.1063/1.2210335
M3 - Conference contribution
AN - SCOPUS:33845990283
SN - 0735403309
SN - 9780735403307
T3 - AIP Conference Proceedings
SP - 139
EP - 142
BT - INNOVATIONS IN NONLINEAR ACOUSTICS - ISNA 17
ER -