Behaviour of the extended modified Volterra lattice -- reductions to generalised mKdV and NLS equations
We consider the first member of an extended modified Volterra 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...
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| Format: | Article |
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Elsevier
2018
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| Online Access: | https://eprints.nottingham.ac.uk/51874/ |
| _version_ | 1848798593966669824 |
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| author | Wattis, Jonathan A.D. Gordoa, PIlar Pickering, Andrew |
| author_facet | Wattis, Jonathan A.D. Gordoa, PIlar 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 modified Volterra 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 modified Korteweg-de Vries and nonlinear Schrodinger equations. |
| first_indexed | 2025-11-14T20:22:15Z |
| format | Article |
| id | nottingham-51874 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T20:22:15Z |
| publishDate | 2018 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-518742020-05-04T19:50:12Z https://eprints.nottingham.ac.uk/51874/ Behaviour of the extended modified Volterra lattice -- reductions to generalised mKdV and NLS equations Wattis, Jonathan A.D. Gordoa, PIlar Pickering, Andrew We consider the first member of an extended modified Volterra 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 modified Korteweg-de Vries and nonlinear Schrodinger equations. Elsevier 2018-12-01 Article PeerReviewed Wattis, Jonathan A.D., Gordoa, PIlar and Pickering, Andrew (2018) Behaviour of the extended modified Volterra lattice -- reductions to generalised mKdV and NLS equations. Communications in Nonlinear Science and Numerical Simulation, 65 . pp. 98-110. ISSN 1007-5704 nonlinear dynamics modified Volterra lattice asymptotic behaviour integrable systems https://www.sciencedirect.com/science/article/pii/S1007570418301606 doi:10.1016/j.cnsns.2018.05.016 doi:10.1016/j.cnsns.2018.05.016 |
| spellingShingle | nonlinear dynamics modified Volterra lattice asymptotic behaviour integrable systems Wattis, Jonathan A.D. Gordoa, PIlar Pickering, Andrew Behaviour of the extended modified Volterra lattice -- reductions to generalised mKdV and NLS equations |
| title | Behaviour of the extended modified Volterra lattice --
reductions to generalised mKdV and NLS equations |
| title_full | Behaviour of the extended modified Volterra lattice --
reductions to generalised mKdV and NLS equations |
| title_fullStr | Behaviour of the extended modified Volterra lattice --
reductions to generalised mKdV and NLS equations |
| title_full_unstemmed | Behaviour of the extended modified Volterra lattice --
reductions to generalised mKdV and NLS equations |
| title_short | Behaviour of the extended modified Volterra lattice --
reductions to generalised mKdV and NLS equations |
| title_sort | behaviour of the extended modified volterra lattice --
reductions to generalised mkdv and nls equations |
| topic | nonlinear dynamics modified Volterra lattice asymptotic behaviour integrable systems |
| url | https://eprints.nottingham.ac.uk/51874/ https://eprints.nottingham.ac.uk/51874/ https://eprints.nottingham.ac.uk/51874/ |