Skip to main content
Article
Stability of Acoustic Nonlinear Dispersive Eigenmodes
The Journal of the Acoustical Society of America
  • Partha P. Banerjee, University of Dayton
  • Adrianus Korpel, University of Iowa
Document Type
Article
Publication Date
1-1-1981
Abstract
In an earlier investigation, spectral evolution equations were derived for nonlinear dispersive propagation. For the special case of two harmonics, two eigenmodes were shown to exist, of which one is parametric in nature. In this paper we develop a general method of stability analysis and show that in the case of two eigenmodes their limit cycle behavior is in agreement with earlier results obtained by different, less general, methods. We will also discuss the relation of the nonlinear eignmodes to cnoidal waves and acoustic solitons.
Inclusive pages
157-164
ISBN/ISSN
0001-4966
Comments

Permission documentation is on file.

Publisher
Acoustical Society of America
Peer Reviewed
Yes
Citation Information
Partha P. Banerjee and Adrianus Korpel. "Stability of Acoustic Nonlinear Dispersive Eigenmodes" The Journal of the Acoustical Society of America Vol. 70 Iss. 1 (1981)
Available at: http://works.bepress.com/partha_banerjee/115/