6533b82afe1ef96bd128c367
RESEARCH PRODUCT
Numerical study of the stability of the Peregrine solution
Christian KleinMariana Haragussubject
PhysicsRogue wavesGeneral Medicine01 natural sciencesStability (probability)010305 fluids & plasmasDeep waterSchrödinger equationsymbols.namesakeNonlinear systemClassical mechanics[ MATH.MATH-AP ] Mathematics [math]/Analysis of PDEs [math.AP]Peregrine solution0103 physical sciencessymbolsNonlinear Schrödinger equation[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]Rogue wave010306 general physicsNonlinear Sciences::Pattern Formation and SolitonsNonlinear Schrödinger equationSchrödinger's catdescription
International audience; The Peregrine solution to the nonlinear Schrödinger equations is widely discussed as a model for rogue waves in deep water. We present here a detailed fully nonlinear numerical study of high accuracy of perturbations of the Peregrine solution as a solution to the nonlinear Schrödinger (NLS) equations.We study localized and nonlocalized perturbations of the Peregrine solution in the linear and fully nonlinear setting. It is shown that the solution is unstable against all considered perturbations.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-01-01 |