Huard, Benoit and Novikov, Vladimir (2013) On Classification of Integrable Davey-Stewartson Type Equations. Journal of Physics A: Mathematical and General, 46 (27). pp. 275-202. ISSN 1751-8121
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Official URL: http://dx.doi.org/10.1088/1751-8113/46/27/275202
Abstract
This paper is devoted to the classification of integrable Davey-Stewartson type equations. A list of potentially deformable dispersionless systems is obtained through the requirement that such systems must be generated by a polynomial dispersionless Lax pair. A perturbative approach based on the method of hydrodynamic reductions is employed to recover the integrable systems along with their Lax pairs. Some of the found systems seem to be new.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Davey-Stewartson equations, dispersive deformations, hydrodynamic reductions, lax pairs |
| Subjects: | G100 Mathematics |
| Department: | Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering |
| Related URLs: | |
| Depositing User: | Dr Benoit Huard |
| Date Deposited: | 26 Mar 2013 13:35 |
| Last Modified: | 17 Dec 2023 14:04 |
| URI: | https://nrl.northumbria.ac.uk/id/eprint/11308 |
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