Hicks, Andrew C., Common, Alan K., Sobhy, Mohammed (1996) Approximations to large amplitude solitary waves on nonlinear electrical lattices. Physica D: Nonlinear Phenomena, 95 (2). pp. 167-186. ISSN 0167-2789. (doi:10.1016/0167-2789(96)00038-3) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:19237)
| The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. | |
| Official URL: http://dx.doi.org/10.1016/0167-2789(96)00038-3 |
Abstract
In this paper we describe an approximate method to characterise solitary wave solutions of nonlinear lattice equations. It is based upon one and two point Pade approximations to a series of the real exponential travelling wave solutions of the underlying dispersive system. The theory is applied to an example of a lattice system which models an experimental nonlinear transmission line and the results obtained are consistent with numerical simulations even for relatively large amplitude solitary waves. The speed-amplitude relation is investigated and compared with that derived using quasi-continuum methods.
| Item Type: | Article |
|---|---|
| DOI/Identification number: | 10.1016/0167-2789(96)00038-3 |
| Subjects: | Q Science > QA Mathematics (inc Computing science) |
| Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
| Depositing User: | R.F. Xu |
| Date Deposited: | 01 Jun 2009 21:43 UTC |
| Last Modified: | 05 Nov 2024 09:55 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/19237 (The current URI for this page, for reference purposes) |
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