Rogers, C., Saccomandi, G. and Vergori, L. (2014) Carroll-type deformations in nonlinear elastodynamics. Journal of Physics A: Mathematical and Theoretical, 47(20), p. 205204. (doi: 10.1088/1751-8113/47/20/205204)
Full text not currently available from Enlighten.
Publisher's URL: http://dx.doi.org/10.1088/1751-8113/47/20/205204
Abstract
Classes of deformations in nonlinear elastodynamics with origins in the pioneering work of Carroll are investigated for a Mooney–Rivlin material subject to body forces corresponding to a nonlinear substrate potential. Exact representations are obtained which, inter alia, are descriptive of the propagation of circularly polarized waves and motions with oscillatory spatial dependence. It is shown that a description of slowly modulated waves leads to a novel class of generalized nonlinear Schrödinger equations. The latter class, in general, is not integrable. However, a procedure is presented whereby integrable Hamiltonian subsystems may be isolated for a broad class of deformations.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Vergori, Dr Luigi |
| Authors: | Rogers, C., Saccomandi, G., and Vergori, L. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Journal of Physics A: Mathematical and Theoretical |
| Publisher: | IOP Publishing |
| ISSN: | 1751-8113 |
| ISSN (Online): | 1751-8121 |
University Staff: Request a correction | Enlighten Editors: Update this record
Altmetric
Altmetric