摘要A type of (2+1)-dimensional nonlinear Schrödinger equation with spatially inhomogeneous nonlinearity and an external potential is studied. It is found that special external potentials and spatially nonlinearities can support nonlinear localized waves.
Abstract:A type of (2+1)-dimensional nonlinear Schrödinger equation with spatially inhomogeneous nonlinearity and an external potential is studied. It is found that special external potentials and spatially nonlinearities can support nonlinear localized waves.
[1]Burger S et al 1999 Phys. Rev. Lett. 83 5198 [2] Denschlag J et al 2000 Science 287 97 [3] Strecker K E et al 2002 Nature 417 150 [4] Khaykovich L et al 2002 Science 296 1290 [5] Kivshar Y and Agrawal G P 2003 Optical Solitons: FromFibers to Photonic Crystals (New York: Academic) [6] Belmonte-Beitia J et al 2007 Phys. Rev. Lett 98 064102 [7] Belmonte-Beitia J et al 2008 Phys. Rev. Lett 100 164102 [8] Serkin V N, Hasegawa A and Belyaeva T L 2007 Phys.Rev. Lett. 98 074102 [9] He J S, Ji M, and Li Y S 2007 Chin. Phys. Lett. 24 2157 [10] Xue J K 2005 J. Phys. B: At. Mol. Opt. Phys. 38 3841 [11] Tang X Y and Shukla P K 2007 Phys. Rev. A 76013612 [12] Inouye S et al 1998 Nature 392 151 [13] Theis M et al 2004 Phys. Rev. Lett. 93 123001 [14] Partridge G B, Truscott and Hulet R G 2002 Nature 417 150 [15] Abdullaev F Kh et al 2003 Phys. Rev. Lett. 90230402 [16] P\'erez-Garc\'ia V M, Konotop V V and Brazhnyi V A 2004 Phys. Rev. Lett. 92 220403 [17] Saito H and Ueda M 2003 Phys. Rev. Lett. 90040403 [18] Donley E A et al 2001 Nature 412 295 [19] Abdullaev F Kh and Garnier J 2005 Phys. Rev. A 72 061605 [20] Theocharis G et al 2005 Phys. Rev. A 72033614 [21] Sakaguchi H and Malomed B A 2005 Phys. Rev. E 72 046610 [22] Primatarowa M T, Stoychev K T and Kamburova R S 2005 Phys. Rev. E 72 036608 [23] Pe\'rez-Garc\'ia V M, Michinel H and Herrero H 1998 Phys. Rev. A 57 3837 [24] Liang Z X, Zhang Z D and Liu W M 2005 Phys. Rev.Lett. 94 050402 [25] Rodas-Verde M I et al 2005 Phys. Rev. Lett. 95 153903 [26] Tsuchiya S et al 2008 Phys. Rev. A 77 045601 [27] Huang G et al 2003 Phys. Rev. A 67 023604 [28] Huang G et al 2005 Phys. Rev. E 72 036621 [29] Sakaguchi H and Malomed B A 2006 Phys. Rev. E 73 026601 [30] Alexander T J et al 2008 Phys. Rev. A 77043607