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Behaviour of the extended Volterra lattice

Pickering, Andrew; Gordoa, Pilar R.; Wattis, Jonathan A.D.

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Authors

Andrew Pickering

Pilar R. Gordoa

JONATHAN WATTIS jonathan.wattis@nottingham.ac.uk
Professor of Applied Mathematics



Abstract

We investigate the behaviour of solutions of the recently proposed extended Volterra lattice. A variety of methods are used to determine the effects of the new terms on small amplitude equations, and, following approximation of the partial differential delay equations by PDEs we also determine similarity reductions.

Journal Article Type Article
Publication Date Mar 1, 2013
Deposit Date Apr 17, 2014
Publicly Available Date Apr 17, 2014
Journal Communications in Nonlinear Science and Numerical Simulation
Print ISSN 1007-5704
Electronic ISSN 1007-5704
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 19
Issue 3
DOI https://doi.org/10.1016/j.cnsns.2013.07.009
Keywords Nonlinear dynamics, Volterra lattice, Asymptotic behaviour, Self-similar behaviour, Lie group techniques
Public URL https://nottingham-repository.worktribe.com/output/1002673
Publisher URL http://www.sciencedirect.com/science/article/pii/S1007570413003110

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