Behaviour of the extended Volterra lattice

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

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: 1878-7274
• 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