6533b86efe1ef96bd12cca07
RESEARCH PRODUCT
The Peregrine breather of order nine and its deformations with sixteen parameters solutions to the NLS equation
Pierre GaillardMickael Gastineausubject
Physics[PHYS]Physics [physics]Degree (graph theory)BreatherMathematical analysisGeneral Physics and Astronomy01 natural sciencesConcentric ring010305 fluids & plasmasExponential functionClassical mechanicsProduct (mathematics)0103 physical sciencesPeregrine solitonOrder (group theory)Rogue wave010306 general physicsNonlinear Sciences::Pattern Formation and SolitonsComputingMilieux_MISCELLANEOUSdescription
Abstract We construct new deformations of the Peregrine breather ( P 9 ) of order 9 with 16 real parameters. With this method, we obtain explicitly new families of quasi-rational solutions to the NLS equation in terms of a product of an exponential depending on t by a ratio of two polynomials of degree 90 in x and t; when all the parameters are equal to 0, we recover the classical P 9 breather. We construct new patterns of different types of rogue waves as triangular configurations of 45 peaks as well as rings and concentric rings.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2015-07-01 |