2007.152: Exact solutions of the 3-wave resonant interaction equation
2007.152: Antonio Degasperis and Sara Lombardo (2006) Exact solutions of the 3-wave resonant interaction equation. Physica D: Nonlinear Phenomena, 241 (2). pp. 157-168. ISSN 0167-2789
Full text available as:
 | PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader 575 Kb |
DOI: 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: | PACS 2003 > 02 Mathematical methods in physics |
| MIMS number: | 2007.152 |
| Deposited By: | Mrs Louise Healey |
| Deposited On: | 16 November 2007 |
Download Statistics: last 4 weeks
Repository Staff Only: edit this item