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Solitary waves with the Madelung fluid description: a generalized derivative nonlinear Schrödinger equation

dc.contributor.authorLü, Xing
dc.contributor.authorMa, Wen-Xiu
dc.contributor.authorYu, Jun
dc.contributor.authorKhalique, Chaudry Masood
dc.contributor.researchID20559860 - Khalique, Chaudry Masood
dc.date.accessioned2017-05-16T06:32:07Z
dc.date.available2017-05-16T06:32:07Z
dc.date.issued2016
dc.description.abstractWithintheframeworkoftheMadelungfluiddescription,wewillderivebrightanddark(includinggray-andblack-soliton)envelopesolutionsforageneralizedderivativenonlin-earSchrödingermodeli∂ ∂t=∂2 ∂x2+ia∂∂x(| |2 )+b| |2 ,byvirtueofthecorrespondingsolitarywavesolutionsforthestationaryGardnerequations.Notethatweonlyconsiderthemotionwithstationary-profilecurrentvelocitycaseandexcludethemotionwithconstantcurrentvelocitycasefora =0;ontheotherhand,ourresultsarederivedundersuitableas-sumptionsforthecurrentvelocityassociatedwithcorrespondingboundaryconditionsofthefluiddensity,andundercorrespondingparametricconstraints.
dc.identifier.citationLü, X. et al. 2016. Solitary waves with the Madelung fluid description: a generalized derivative nonlinear Schrödinger equation. Communications in Nonlinear Science and Numerical Simulation, 31:40-46. [https://doi.org/10.1016/j.cnsns.2015.07.007]
dc.identifier.issn1007-5704
dc.identifier.issn1878-7274 (Online)
dc.identifier.urihttps://doi.org/10.1016/j.cnsns.2015.07.007
dc.identifier.urihttp://hdl.handle.net/10394/24223
dc.language.isoen
dc.publisherElsevier
dc.subjectGeneralized derivative nonlinear Schrödinger equation
dc.subjectMadelung fluid description
dc.subjectSolitary wave
dc.subjectEnvelope soliton
dc.titleSolitary waves with the Madelung fluid description: a generalized derivative nonlinear Schrödinger equation
dc.typeArticle

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