Behaviour of the extended Volterra lattice
Pickering, Andrew; Gordoa, Pilar R.; Wattis, Jonathan A.D.
Pilar R. Gordoa
Jonathan A.D. Wattis Jonathan.Wattis@nottingham.ac.uk
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|
|Peer Reviewed||Peer Reviewed|
|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|
|Keywords||Nonlinear dynamics, Volterra lattice, Asymptotic behaviour, Self-similar behaviour, Lie group techniques|
|Copyright Statement||Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by/4.0|
Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by/4.0
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