Change search
ReferencesLink to record
Permanent link

Direct link
Standing and propagating waves in cubically nonlinear media
KTH, School of Engineering Sciences (SCI), Mechanics.
2006 (English)In: Mathematical Modeling of Wave Phenomena / [ed] Nilsson, B; Fishman, L, MELVILLE, NY: AMER INST PHYSICS , 2006, Vol. 834, 187-195 p.Conference paper (Refereed)
Abstract [en]

The paper has three parts. In the first part a cubically nonlinear equation is derived for a transverse finite-amplitude wave in an isotropic solid. The cubic nonlinearity is expressed in terms of elastic constants. In the second part a simplified approach for a resonator filled by a cubically nonlinear medium results in functional equations. The frequency response shows the dependence of the amplitude of the resonance on the difference between one of the resonator's eigenfrequencies and the driving frequency. The frequency response curves are plotted for different values of the dissipation and differ very much for quadratic and cubic nonlinearities. In the third part a propagating N-wave is studied, which fulfils a modified Burgers' equation with a cubic nonlinearity. Approximate solutions to this equation are found for new parts of the wave profile.

Place, publisher, year, edition, pages
MELVILLE, NY: AMER INST PHYSICS , 2006. Vol. 834, 187-195 p.
Keyword [en]
cubic nonlinear media, nonlinear acoustic resonator, cubic resonator, N-wave propagation
National Category
Physical Sciences
URN: urn:nbn:se:kth:diva-41955DOI: 10.1063/1.2205802ISI: 000237610000019ScopusID: 2-s2.0-33845586974ISBN: 0-7354-0325-2OAI: diva2:445773
2nd Conference on Mathematical Modeling of Wave Phenomena. Vaxjo, SWEDEN. AUG 14-19, 2005
QC 20111005Available from: 2011-10-05 Created: 2011-10-04 Last updated: 2011-10-05Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textScopus

Search in DiVA

By author/editor
Enflo, Bengt O.
By organisation
Physical Sciences

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 12 hits
ReferencesLink to record
Permanent link

Direct link