6533b854fe1ef96bd12afbd6
RESEARCH PRODUCT
Eighth Peregrine breather solution of the NLS equation and multi-rogue waves
Pierre Gaillardsubject
NLS equationNonlinear Sciences::Exactly Solvable and Integrable Systems[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]Fredholm determinantPeregrine breathers[ MATH.MATH-MP ] Mathematics [math]/Mathematical Physics [math-ph]Peregrine breathers.[MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph]Nonlinear Sciences::Pattern Formation and SolitonsRiemann theta functiondescription
This is a continuation of a paper in which we present a new representation of solutions of the focusing NLS equation as a quotient of two determinants. This work was based on a recent paper in which we had constructed a multi-parametric family of this equation in terms of wronskians. \\ Here we give a more compact formulation without limit. With this method, we construct Peregrine breather of order N=8 and multi-rogue waves associated by deformation of parameters.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-12-08 |