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Behaviour of the extended Volterra lattice

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

Authors

Andrew Pickering

Pilar R. Gordoa

Jonathan A.D. Wattis Jonathan.Wattis@nottingham.ac.uk



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
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
APA6 Citation Pickering, A., Gordoa, P. R., & Wattis, J. A. (2013). Behaviour of the extended Volterra lattice. Communications in Nonlinear Science and Numerical Simulation, 19(3), doi:10.1016/j.cnsns.2013.07.009
DOI https://doi.org/10.1016/j.cnsns.2013.07.009
Keywords Nonlinear dynamics, Volterra lattice, Asymptotic behaviour, Self-similar behaviour, Lie group techniques
Publisher URL http://www.sciencedirect.com/science/article/pii/S1007570413003110
Copyright Statement Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by/4.0

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by/4.0





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