TY - JOUR

T1 - Are rogue waves robust against perturbations?

AU - Ankiewicz, Adrian

AU - Devine, N.

AU - Akhmediev, Nail

PY - 2009/10/19

Y1 - 2009/10/19

N2 - We study the effect of various perturbations on the fundamental rational solution of the nonlinear Schrödinger equation (NLSE). This solution describes generic nonlinear wave phenomena in the deep ocean, including the notorious rogue waves. It also describes light pulses in optical fibres. We find that the solution can survive at least three types of perturbations that are often used in the physics of nonlinear waves. We show that the rational solution remains rational and localized in each direction, thus representing a modified rogue wave.

AB - We study the effect of various perturbations on the fundamental rational solution of the nonlinear Schrödinger equation (NLSE). This solution describes generic nonlinear wave phenomena in the deep ocean, including the notorious rogue waves. It also describes light pulses in optical fibres. We find that the solution can survive at least three types of perturbations that are often used in the physics of nonlinear waves. We show that the rational solution remains rational and localized in each direction, thus representing a modified rogue wave.

UR - http://www.scopus.com/inward/record.url?scp=70349333530&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2009.08.053

DO - 10.1016/j.physleta.2009.08.053

M3 - Article

SN - 0375-9601

VL - 373

SP - 3997

EP - 4000

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 43

ER -