| EPSRC Reference: |
GR/T19346/01 |
| Title: |
Existence and Stability of Localized Solutions for Coupled DNLS equations: Theory and Applications |
| Principal Investigator: |
Rothos, Professor VM |
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| Department: |
Sch of Mathematical Sciences |
| Organisation: |
Queen Mary University of London |
| Scheme: |
Mathematics Small Grant PreFEC |
| Starts: |
04 August 2004 |
Ends: |
03 January 2005 |
Value (£): |
4,745
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| EPSRC Research Topic Classifications: |
| Non-linear Systems Mathematics |
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| EPSRC Industrial Sector Classifications: |
| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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Localised excitations in nonlinear discrete systems are described, as a rule, by non-integrable equations, and their study demands extensive numerics. The aim of this proposal is to follow an alternative route, exploiting the existence of integrable discretizations of continuous soliton equations as a starting point for the study of their non-integrable generalizations. The proposed research is aimed to extend, as far as possible, the applicability of analytical methods to study dynamics of solitons in near-integrable nonlinear discrete systems which approximate actual physical situations. These techniques and their results will be corroborated with numerical simulations. The findings will be placed in the context of currently existing and/or feasible experimental settings and definitive predictions will be made that can be verified/tested in such setups.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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