New Solitary Wave Solution for Nonlinear Schrodinger Equation

Akram, Urooj

dc.contributor.author	Akram, Urooj
dc.date.accessioned	2018-10-30T06:53:14Z
dc.date.accessioned	2019-11-05T07:23:30Z
dc.date.available	2018-10-30T06:53:14Z
dc.date.available	2019-11-05T07:23:30Z
dc.date.issued	2018-05
dc.identifier.uri	http://dspace.cuilahore.edu.pk/xmlui/handle/123456789/865
dc.description.abstract	A nonsingularandlocalizedwavewhichpropagateswithoutchangeofvelocityand shapeiscalledasolitarywave.AsolitonisasolutionofNLPDEwhichhasaper- manentformandislocalized.Asolitarytravelingwavedoesnotobeysuperposition principle;itdoesnotdisperse.Solitarywavesretainitspermanentstructureevenwhen itcollideswithothersoliton[25].Solitonhasmanyapplicationsinotherfieldslike engineeringandbiology.Solitonsolutionscanbecalculatedwiththehelpofdiffer- entnonlinearities.ThesenonlinearitiesareKerrlaw,powerlaw,paraboliclaw,dual powerlaw,exponentiallawetc.Inthisthesiswewillstudy,thesolitonsolutionsof Lakshmanan-Porsezian-Danial(LPD)model.Inordertoobtainexactsolitonsolutions severalpowerfulmethodshavebeenproposed.Wewillusemodifiedtrailequation methodwithKerrandparaboliclawtoobtainsomehyperbolicandrationalfunction solutionstoLPDmodel.Wealsofindnewandmoregeneralexacttravelingwave solutionbyusingimproved G′/G-expansionmethodwithKerrandparaboliclawsof nonlinearities.	en_US
dc.language.iso	en	en_US
dc.publisher	COMSATS University Islamabad, Lahore Campus.	en_US
dc.subject	Mathematics	en_US
dc.title	New Solitary Wave Solution for Nonlinear Schrodinger Equation	en_US
dc.type	Thesis	en_US