Mutual compensation of the higher-order nonlinearity and the third-order dispersion

作者: Shan-liang Liu , Xi-qiang Liu

DOI: 10.1016/S0375-9601(97)81282-0

关键词:

摘要: Abstract We obtain the exact bright and dark solitary wave solutions of nonlinear Schrodinger equation (NLSE) with higher-order nonlinearity third-order dispersion without any specified conditions, analyze features solutions. The results show that can mutually compensate for a soliton just as usual self-phase modulation (SPM) group-velocity (GVD) in NLSE; whether or exists monomode optical fiber is determined by sign instead group velocity dispersion; peak intensity proportional to ratio nonlinearity; depends on width η, so no bound N -soliton states exist.

参考文章(13)
Govind P. Agrawal, Nonlinear Fiber Optics ,(1989)
J. P. Gordon, Theory of the soliton self-frequency shift Optics Letters. ,vol. 11, pp. 662- 664 ,(1986) , 10.1364/OL.11.000662
Akira Hasegawa, Frederick Tappert, Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers. I. Anomalous dispersion Applied Physics Letters. ,vol. 23, pp. 142- 144 ,(1973) , 10.1063/1.1654836
Ryogo Hirota, Exact envelope‐soliton solutions of a nonlinear wave equation Journal of Mathematical Physics. ,vol. 14, pp. 805- 809 ,(1973) , 10.1063/1.1666399
Shanliang Liu, Wenzheng Wang, Jingzhi Xu, Exact N-Soliton Solutions for the Higher-Order Nonlinear Schrödinger Equation Under Another Condition Chinese Physics Letters. ,vol. 11, pp. 737- 740 ,(1994) , 10.1088/0256-307X/11/12/006
Shan-liang Liu, Wen-zheng Wang, EXACT N-SOLITON SOLUTIONS OF THE EXTENDED NONLINEAR SCHRODINGER EQUATION Physical Review E. ,vol. 49, pp. 5726- 5730 ,(1994) , 10.1103/PHYSREVE.49.5726
L. F. Mollenauer, R. H. Stolen, J. P. Gordon, Experimental Observation of Picosecond Pulse Narrowing and Solitons in Optical Fibers Physical Review Letters. ,vol. 45, pp. 1095- 1098 ,(1980) , 10.1103/PHYSREVLETT.45.1095
F. M. Mitschke, L. F. Mollenauer, Discovery of the soliton self-frequency shift Optics Letters. ,vol. 11, pp. 659- 661 ,(1986) , 10.1364/OL.11.000659
Shan-liang Liu, Wen-zheng Wang, Complete compensation for the soliton self-frequency shift and third-order dispersion of a fiber Optics Letters. ,vol. 18, pp. 1911- 1912 ,(1993) , 10.1364/OL.18.001911