TY - JOUR

T1 - Rogue waves management by external potentials

AU - Al Khawaja, U.

AU - Taki, Majid

N1 - Funding Information:
The authors acknowledge the support provided by United Arab Emirates University under the UAEU-NRF grant and the support provided by King Fahd University of Petroleum and Minerals under group project Nos. RG1107-1 , RG1107-2 , RG1214-1 , and RG1214-2 . M.T. acknowledges support from the French Research Agency ( ANR-12-BS04-0011 OptiRoc ) and from the Labex CEMPI ( ANR-11-LABX-0007-01 ).

PY - 2013/12/2

Y1 - 2013/12/2

N2 - We study the effect of time-dependent linear and quadratic potentials on the profile and dynamics of rogue waves represented by a Peregrine soliton. The Akhmediev breather, Ma breather, bright soliton, Peregrine soliton, and constant wave (CW) are all obtained by changing the value of one parameter in the general solution corresponding to the amplitude of the input CW. The corresponding solutions for the case with linear and quadratic potentials were derived by the similarity transformation method. While the peak height and width of the rogue wave turn out to be insensitive to the linear potential, the trajectory of its center-of-mass can be manipulated with an arbitrary time-dependent slope of the linear potential. With a quadratic potential, the peak height and width of the rogue wave can be arbitrarily manipulated to result, for a special case, in a very intense pulse.

AB - We study the effect of time-dependent linear and quadratic potentials on the profile and dynamics of rogue waves represented by a Peregrine soliton. The Akhmediev breather, Ma breather, bright soliton, Peregrine soliton, and constant wave (CW) are all obtained by changing the value of one parameter in the general solution corresponding to the amplitude of the input CW. The corresponding solutions for the case with linear and quadratic potentials were derived by the similarity transformation method. While the peak height and width of the rogue wave turn out to be insensitive to the linear potential, the trajectory of its center-of-mass can be manipulated with an arbitrary time-dependent slope of the linear potential. With a quadratic potential, the peak height and width of the rogue wave can be arbitrarily manipulated to result, for a special case, in a very intense pulse.

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U2 - 10.1016/j.physleta.2013.09.012

DO - 10.1016/j.physleta.2013.09.012

M3 - Article

AN - SCOPUS:84885174693

SN - 0375-9601

VL - 377

SP - 2944

EP - 2949

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

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

IS - 41

ER -