Degasperis, Antonio and Lombardo, Sara (2006) Exact solutions of the 3-wave resonant interaction equation. Physica D: Nonlinear Phenomena, 214 (2). pp. 157-168. ISSN 01672789
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Official URL: http://dx.doi.org/10.1016/j.physd.2006.01.003
Abstract
The Darboux–Dressing Transformations are applied to the Lax pair associated to the system of nonlinear equations describing the resonant interaction of three waves in 1+1 dimensions. We display explicit solutions featuring localized waves whose profile vanishes at the spacial boundary |x|=∞, and which are not pure soliton solutions. These solutions depend on an arbitrary function and allow us to deal with collisions of waves with various profiles.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | 3-wave interaction, solitons, integrable PDEs |
| Subjects: | F300 Physics G100 Mathematics |
| Department: | Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering |
| Depositing User: | Becky Skoyles |
| Date Deposited: | 25 Nov 2013 09:07 |
| Last Modified: | 13 Oct 2019 00:23 |
| URI: | http://nrl.northumbria.ac.uk/id/eprint/14709 |
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