| FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
|
|
|
|
Spatial Soliton Solutions in a Harmonic Potential |
| XU Si-Liu1,2, LIANG Jian-Chu1, YI Lin1 |
| 1Department of Physics, Huazhong University of Science and Technology, Wuhan 4300742Department of Physics, Xianning College, Xianning 437100 |
|
| Cite this article: |
|
XU Si-Liu, LIANG Jian-Chu, YI Lin 2009 Chin. Phys. Lett. 26 074215 |
|
|
|
Abstract The F-expansion technique and the homogeneous nonlinear balance principle have been applied for solving a general (1+1)-dimensional nonlinear Schrödinger equation (NLSE) with varying coefficients and a harmonic potential. A family of (1+1)D spatial solitons has been obtained. The evolution features of exact solutions have been investigated.
|
| Keywords:
42.65.Tg
42.81.Dp
42.65.Jx
|
|
|
Received: 08 October 2008
Published: 02 July 2009
|
|
| PACS: |
42.65.Tg
|
(Optical solitons; nonlinear guided waves)
|
| |
42.81.Dp
|
(Propagation, scattering, and losses; solitons)
|
| |
42.65.Jx
|
(Beam trapping, self-focusing and defocusing; self-phase modulation)
|
|
|
|
|
|
[1] Goral K, Santos L and Lewenstein M 2002 Phys. Rev.Lett. 88 170406
[2] Yakushevich L V 2004 Nonlinear Physics of DNA (NewYork: Wiley VCH) p 115
[3]Gardner C S, Greene J M, Kruskal M D and Miura R M 1967 Phys. Rev. Lett. 19 1095
[4] Zabusky N J and Kruskal M D 1965 Phys. Rev. Lett. 15 240
[5] Stegeman G I and Segev M 1999 Science 2861518
[6] Wang F J, Yan X H, Wang D L 2008 Chin. Phys. Lett. 25 4
[7]Ciattoni A, Rizza C, DelRe E and Palange E 2007 Phys.Rev. Lett. 98 043901
[8] Matveev V B and Salle M A 1991 DardouxTransformations and Solitons (Springer Series in NonlinearDynamics) (Berlin: Springer) p 97
[9] Li W M and Geng X G 2006 Chin. Phys. Lett. 231361
[10]Ablowitz M J 1991 Nonlinear Schr\"{odinger Equationand Inverse Scattering (New York: Cambridge University) p 1
[11] Kruglov V I, Peacock A C and Harvey J D 2003 Phys.Rev. Lett. 90 113902
[12] Filho V S, Abdullaev F K, Gammal A and Tomio L 2001 Phys. Rev. A 63 053603
[13]Marklund M, Shukla P K and Stenflo L 2006 Phys. Rev.E 73 037601
[14]Liu S K, Fu Z T, Liu S D and Zhao Q 2001 Phys. Lett.A 289 69
[15] Fu Z T, Liu S K, Liu S D and Zhao Q 2001 Phys.Lett. A 290 72
[16] Martin A D, Adams C S and Gardiner S A 2007 Phys.Rev. Lett. 98 020402
[17] Perez-Garcia V M, Michinel H and Herrero H 1998 Phys. Rev. A 57 3837
[18] Garnier J and Abdullaev F K 2006 Phys. Rev. A 74 013604
[19]Eiermann B, Treutlein P, Anker Th, Albiez M, Taglieber M,Marzlin K P and Oberthaler M K 2003 Phys. Rev. Lett. 91060402
[20]Chen S H and Yi L 2005 Phys. Rev. E 71 016606
[21]Chen S H, Yi L, Guo D S and Lu P x 2005 Phys. Rev. E 72 016622
[22]Zhong W P, Xie R H, Belic M, Petrovi N and Chen G 2008 Phys. Rev. A 78 023821
[23] Zhou Y B, Wang M L and Miao T D 2004 Phys. Lett. A 323 77
[24] Serkin V N and Hasegawa A 2000 Phys. Rev. Lett. 85 4502
[25] Chen S H, Yang Y H, Yi L, Lu P X and Guo D S 2007 Phys. Rev. E 75 036617
[26]Werner M J and Drummond P D 1997 J. Comput. Phys. 132 312 |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
