Andrew Pickering
Behaviour of the extended Volterra lattice
Pickering, Andrew; Gordoa, Pilar R.; Wattis, Jonathan A.D.
Authors
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.
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), https://doi.org/10.1016/j.cnsns.2013.07.009
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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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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