Behaviour of the extended Volterra lattice

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Pickering, Andrew, Gordoa, Pilar R. and Wattis, Jonathan A.D. (2013) Behaviour of the extended Volterra lattice. Communications in Nonlinear Science and Numerical Simulation, 19 (3). pp. 589-600. ISSN 1007-5704

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Official URL: http://www.sciencedirect.com/science/article/pii/S1007570413003110

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.

Item Type:	Article
RIS ID:	https://nottingham-repository.worktribe.com/output/1002673
Keywords:	Nonlinear dynamics, Volterra lattice, Asymptotic behaviour, Self-similar behaviour, Lie group techniques
Schools/Departments:	University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Identification Number:	https://doi.org/10.1016/j.cnsns.2013.07.009
Depositing User:	Wahid, Ms. Haleema
Date Deposited:	17 Apr 2014 09:55
Last Modified:	04 May 2020 20:19
URI:	https://eprints.nottingham.ac.uk/id/eprint/2396

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