Dark solitons, breathers, and rogue wave solutions of the coupled generalized nonlinear Schrodinger equations 外文学习材料

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1、PHYSICALREVIEWE89,062901(2014)Darksolitons,breathers,androguewavesolutionsofthecoupledgeneralizednonlinearSchrodingerequations¨N.VishnuPriya,M.Senthilvelan,*andM.LakshmananCentreforNonlinearDynamics,SchoolofPhysics,BharathidasanUniversity,Tiruchirappalli620024,TamilNadu,India(Received3Mar

2、ch2014;published2June2014)Weconstructdark-darksoliton,generalbreather(GB),Akhmedievbreather(AB),Masoliton(MS),androguewave(RW)solutionsofacoupledgeneralizednonlinearSchrodinger(CGNLS)equation.Whiledark-dark¨solitonsarecapturedinthedefocusingregimeoftheCGNLSsystem,theothersolutions,namely,

3、GB,AB,MS,andRW,areidentifiedinthefocusingregime.WealsoanalyzethestructuresofGB,AB,MS,andRWprofileswithrespecttothefour-wavemixingparameter.Weshowthatwhenweincreasethevalueoftherealpartofthefour-wavemixingparameter,thenumberofpeaksinthebreatherprofileincreasesandthewidthofeachpeakshrinks.Inte

4、restingly,thedirectionofthisprofilealsochangesduetothischange.AsfarastheRWprofileisconcernedthewidthofthepeakbecomesverythinwhenweincreasethevalueofthisparameter.Further,weconsidertheRWsolutionasthestartingpoint,deriveAB,MS,andGBinthereversedirection,andshowthatthesolutionsobtainedinbothdir

5、ectionsmatcheachother.InthecourseofthereverseanalysiswealsodemonstratehowtocapturetheRWsolutionsdirectlyfromABandMS.DOI:10.1103/PhysRevE.89.062901PACSnumber(s):05.45.Yv,02.30.Ik,42.65.−k,47.20.KyI.INTRODUCTIONtherein).RecentlyRWsolutionshavebeenidentifiedindiffer-entareasofphysics:tonameaf

6、ew,wecitethesituationsinInthispaperweconstructdark-darksoliton,Akmedievfiberoptics[6],watertankexperiments[7],plasmaphysics[8],breather(AB),Masoliton(MS),generalbreather(GB),andBose-Einsteincondensates[9].Inparticular,opticalRWsandroguewave(RW)solutionsforasystemofintegrableariseduetosuper

7、continuumgeneration[6]inopticalfiberstwo-coupledgeneralizednonlinearSchrodinger(CGNLS)¨andtheyhavemanypotentialapplications,togeneratestable,equations,namely[1],coherentlightsourcesandtoproducehigh-contrastopticalip+p+2(a

8、p

9、2+c

10、q

11、2+bpq∗+b∗qp∗)p=0,switches[10].Mathema