Hicks, A.C. and Common, A.K. and Sobhy, M.I. (1996) Approximations to large amplitude solitary waves on nonlinear electrical lattices. Physica D, 95 (2). pp. 167-186. ISSN 0167-2789.
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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.
|Subjects:||Q Science > QA Mathematics (inc Computing science)|
|Divisions:||Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science|
|Depositing User:||R.F. Xu|
|Date Deposited:||01 Jun 2009 21:43|
|Last Modified:||01 Jun 2009 21:43|
|Resource URI:||http://kar.kent.ac.uk/id/eprint/19237 (The current URI for this page, for reference purposes)|
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