6533b85cfe1ef96bd12bd050
RESEARCH PRODUCT
Ten-parameters deformations of the sixth order Peregrine breather solutions of the NLS equation.
Pierre Gaillardsubject
[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph][ MATH.MATH-MP ] Mathematics [math]/Mathematical Physics [math-ph][MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph]Nonlinear Sciences::Pattern Formation and Solitonsdescription
In this paper, we construct new deformations of the Peregrine breather of order 6 with 10 real parameters. We obtain new families of quasi-rational solutions of the NLS equation. With this method, we construct new patterns of different types of rogue waves. We get as already found for the lower order, the triangular configurations and rings isolated. Moreover, one sees for certain values of the parameters the appearance of new configurations of concentric rings.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-06-13 |