Exact solutions of the 3-wave resonant interaction equation
Degasperis, Antonio ; Lombardo, Sara
arXiv, 0509038 / Harvested from arXiv
Text on arXiv
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 plus and minus infinity, and which are not pure soliton solutions. These solutions depend on an arbitrary function and allow to deal with collisions of waves with various profiles.
Publié le : 2005-09-21
Classification:  Nonlinear Sciences - Exactly Solvable and Integrable Systems,  Mathematical Physics 
@article{0509038,
     author = {Degasperis, Antonio and Lombardo, Sara},
     title = {Exact solutions of the 3-wave resonant interaction equation},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0509038}
}

Degasperis, Antonio; Lombardo, Sara. Exact solutions of the 3-wave resonant interaction equation. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0509038/