Behaviour of the extended Volterra lattice
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 simil...
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| Format: | Article |
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Elsevier
2013
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| Online Access: | https://eprints.nottingham.ac.uk/2396/ |
| _version_ | 1848790774486925312 |
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| author | Pickering, Andrew Gordoa, Pilar R. Wattis, Jonathan A.D. |
| author_facet | Pickering, Andrew Gordoa, Pilar R. Wattis, Jonathan A.D. |
| author_sort | Pickering, Andrew |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T18:17:57Z |
| format | Article |
| id | nottingham-2396 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T18:17:57Z |
| publishDate | 2013 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-23962020-05-04T20:19:33Z https://eprints.nottingham.ac.uk/2396/ Behaviour of the extended Volterra lattice Pickering, Andrew Gordoa, Pilar R. Wattis, Jonathan A.D. 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. Elsevier 2013-03 Article PeerReviewed 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 Nonlinear dynamics Volterra lattice Asymptotic behaviour Self-similar behaviour Lie group techniques http://www.sciencedirect.com/science/article/pii/S1007570413003110 doi:10.1016/j.cnsns.2013.07.009 doi:10.1016/j.cnsns.2013.07.009 |
| spellingShingle | Nonlinear dynamics Volterra lattice Asymptotic behaviour Self-similar behaviour Lie group techniques Pickering, Andrew Gordoa, Pilar R. Wattis, Jonathan A.D. Behaviour of the extended Volterra lattice |
| title | Behaviour of the extended Volterra lattice |
| title_full | Behaviour of the extended Volterra lattice |
| title_fullStr | Behaviour of the extended Volterra lattice |
| title_full_unstemmed | Behaviour of the extended Volterra lattice |
| title_short | Behaviour of the extended Volterra lattice |
| title_sort | behaviour of the extended volterra lattice |
| topic | Nonlinear dynamics Volterra lattice Asymptotic behaviour Self-similar behaviour Lie group techniques |
| url | https://eprints.nottingham.ac.uk/2396/ https://eprints.nottingham.ac.uk/2396/ https://eprints.nottingham.ac.uk/2396/ |