Behaviour of the extended Toda lattice
We consider the first member of an extended Toda lattice hierarchy. This system of equations is differential with respect to one independent variable and differential-delay with respect to a second independent variable. We use asymptotic analysis to consider the long wavelength limits of the system....
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| Format: | Article |
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Elsevier
2015
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| Online Access: | https://eprints.nottingham.ac.uk/28925/ |
| _version_ | 1848793675415420928 |
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| author | Wattis, Jonathan A.D. Gordoa, Pilar R. Pickering, Andrew |
| author_facet | Wattis, Jonathan A.D. Gordoa, Pilar R. Pickering, Andrew |
| author_sort | Wattis, Jonathan A.D. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | We consider the first member of an extended Toda lattice hierarchy. This system of equations is differential with respect to one independent variable and differential-delay with respect to a second independent variable. We use asymptotic analysis to consider the long wavelength limits of the system. By considering various magnitudes for the parameters involved, we derive reduced equations related to the Korteweg-de Vries and potential Boussinesq equations. |
| first_indexed | 2025-11-14T19:04:04Z |
| format | Article |
| id | nottingham-28925 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:04:04Z |
| publishDate | 2015 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-289252020-05-04T20:09:25Z https://eprints.nottingham.ac.uk/28925/ Behaviour of the extended Toda lattice Wattis, Jonathan A.D. Gordoa, Pilar R. Pickering, Andrew We consider the first member of an extended Toda lattice hierarchy. This system of equations is differential with respect to one independent variable and differential-delay with respect to a second independent variable. We use asymptotic analysis to consider the long wavelength limits of the system. By considering various magnitudes for the parameters involved, we derive reduced equations related to the Korteweg-de Vries and potential Boussinesq equations. Elsevier 2015-04 Article PeerReviewed Wattis, Jonathan A.D., Gordoa, Pilar R. and Pickering, Andrew (2015) Behaviour of the extended Toda lattice. Communications in Nonlinear Science and Numerical Simulation, 28 . pp. 138-150. ISSN 1007-5704 Nonlinear dynamics Toda lattice asymptotic behaviour self-similar behaviour http://www.sciencedirect.com/science/article/pii/S1007570415001318 doi:10.1016/j.cnsns.2015.04.006 doi:10.1016/j.cnsns.2015.04.006 |
| spellingShingle | Nonlinear dynamics Toda lattice asymptotic behaviour self-similar behaviour Wattis, Jonathan A.D. Gordoa, Pilar R. Pickering, Andrew Behaviour of the extended Toda lattice |
| title | Behaviour of the extended Toda lattice |
| title_full | Behaviour of the extended Toda lattice |
| title_fullStr | Behaviour of the extended Toda lattice |
| title_full_unstemmed | Behaviour of the extended Toda lattice |
| title_short | Behaviour of the extended Toda lattice |
| title_sort | behaviour of the extended toda lattice |
| topic | Nonlinear dynamics Toda lattice asymptotic behaviour self-similar behaviour |
| url | https://eprints.nottingham.ac.uk/28925/ https://eprints.nottingham.ac.uk/28925/ https://eprints.nottingham.ac.uk/28925/ |