Three-dimensional solitary and vortex structures in Bose-Einstein condensates are studied in the framework of Gross-Pitaevskii model including the simultaneous action of local cubic-quintic nonlinearity and nonlocal dipole-dipole interactions. Nonlocal int
[1]S.J.PetchikandH.SmithBose-EinsteinCondensation
inDiluteGases(CambridgeUniversityPress,2002).[2]Yu.S.KivsharandG.Agrawal,OpticalSolitons:From
FiberstoPhotonicCrystals(AcademicPress,SanDiego,2003).
[3]S.Burgeretal.,Phys.Rev.Lett.83,5198(1999)
[4]K.E.Streckeretal.,Nature(London)417,150(2002).[5]L.Khaykovichetal.,Science296,1290(2002).
[6]P.G.Kevrekidisetal.,Phys.Rev.Lett.90,230401
(2003);
[7]S.YiandL.You,Phys.Rev.A61,041604(2000).
[8]L.Santosetal.,Phys.Rev.Lett.85,1791(2000);L.San-tos,G.V.Shlyapnikov,andM.Lewenstein,Phys.Rev.Lett.90,250403(2003).
[9]A.S.KovalevandA.M.Kosevich,Fiz.Nizk.Temp.,2,
913(1976).
[10]A.M.Kosevich,B.A.Ivanov,andA.S.Kovalev,Phys.
Rep.194,117(1990).
[11]D.Mihalacheet.alPhys.Rev.Lett.,88,073902(2002).D.Mihalacheet.alPhys.Rev.Lett.,97,073904(2006).T.A.DavydovaandA.I.Yakimenko,J.Opt.A:Pure
Appl.Opt.6,S197(2004).
H.Michinel,M.J.Paz-Alonso,andV.M.P´erez-Garc´ a,
Phys.Rev.Lett.96,023903(2006).
A.I.Yakimenko,Yu.A.Zaliznyak,andYu.Kivshar,
Phys.Rev.E71,065603R(2005).
D.Briedisetal.,Opt.Express13,435(2005).
A.I.Yakimenko,shkin,andO.O.Prikhodko,
5
Phys.Rev.E73,066605(2006).
[18]shkin,Phys.Rev.A,75,043607(2007).
[19]N.VakhitovandA.Kolokolov,Izv.Vyssh.Uchebn.Zaved.,Radio z.17,1332(1974).
[20]G.P.Agrawal,NonlinearFiberOptics(AcademicPress,NewYork,1995).
[21]A.G.Litvak,V.A.Mironov,G.M.Fraiman,andA.D.Yu-nakovskii,Sov.J.PlasmaPhys.1,60(1975).
[22]T.A.DavydovaandA.I.FishchukUkr.J.Phys.40,487(1995).
[23]P.D.Rasmussen,O.Bang,W.Kr´olikowski,Phys.Rev.E72,066611(2005).
[24]C.Conti,M.Peccianti,andG.Assanto,Phys.Rev.Lett.91,073901(2003).[25]W.Kr´olikowski,O.Bang,N.I.Nikolov,D.Neshev,J.Wyler,J.J.Rasmussen,andD.Edmundson,J.Opt.B6,288(2004).
[26]P.PedriandL.Santos,Phys.Rev.Lett.90,200404(2005).
[27]C.Conti,G.Ruocco,andS.Trillo,Phys.Rev.Lett.95,183902(2005).
[28]D.Mihalacheet.alPhys.Rev.E73,025601(R)(2006).[29]V.I.PetviashviliandV.V.Yan’kov,Rev.PlasmaPhys.Vol.14,Ed.B.B.Kadomtsev,(ConsultantsBureau,NewYork,1989),pp1-62.
[30]
T.A.Davydova,A.I.Yakimenko,andYu.A.Zaliznyak,Phys.Rev.E67,026402(2003).
[12][13][14][15][16][17]