Approximations to large amplitude solitary waves on nonlinear electrical lattices

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 Padé approximations to a series of the real exponential travelling wave solutions of the underlying dispersive system. The theory is applied to a...

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Bibliographic Details
Published inPhysica. D Vol. 95; no. 2; pp. 167 - 186
Main Authors Hicks, Andrew C., Common, Alan K., Sobhy, Mohanned I.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 1996
Subjects
Lattice
Solitary waves
Transmission lines
Solitary waves
Transmission lines
Lattice
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Summary: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 Padé 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 the derived using quasi-continuum methods.
ISSN:0167-2789
1872-8022
DOI:10.1016/0167-2789(96)00038-3