| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1899126 | Physica D: Nonlinear Phenomena | 2006 | 12 Pages |
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|=â, 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.
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Antonio Degasperis, Sara Lombardo,