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Approximations to large amplitude solitary waves on nonlinear electrical lattices

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: 16 Nov 2021 09:57 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/19237 (The current URI for this page, for reference purposes)

University of Kent Author Information

Sobhy, Mohammed.

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