Exact periodic solution in coupled nonlinear Schrodinger equations

被引：0

作者：

Li Qi-Liang ^{[1
]}

Chen Jun-Lang ^{[1
]}

Sun Li-Li ^{[1
]}

Yu Shu-Yi ^{[1
]}

Qian Sheng ^{[1
]}

机构：

[1] Hangzhou Dianzi Univ, Sch Commun, Inst Telecommun & Informat Sci, Hangzhou 310037, Peoples R China

来源：

CHINESE PHYSICS | 2007年 / 16卷 / 06期

关键词：

dual core fibre; the coupled nonlinear Schrodinger equations; elliptic function;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The coupled nonlinear Schrodinger equations ( CNLSEs) of two symmetrical optical fibres are nonintegrable, however the transformed CNLSEs have integrability. Integrability of the transformed CNLSEs is proved by the Hamilton dynamics theory and Galilei transform. Making use of a transform for CNLSEs and using the ansatz with Jacobi elliptic function form, this paper obtains the exact optical pulse solutions.

引用

页码：1545 / 1548

页数：4

共 18 条

[1] Agrawal G., 2001, Nonlinear Fibers Optics, V3rd
[2] Exact solutions of the generalized nonlinear Schrodinger equation with distributed coefficients
Kruglov, VI
Peacock, AC
Harvey, JD
[J]. PHYSICAL REVIEW E, 2005, 71 (05):
[3] Li HM, 2005, CHINESE PHYS, V14, P251, DOI 10.1088/1009-1963/14/2/006
[4] Integrability aspects of solitons' coupled equation in multi-wavelength system
Li, QL
Zhu, HD
Tang, XH
Li, CJ
Wang, XJ
Lin, LB
[J]. ACTA PHYSICA SINICA, 2004, 53 (06) : 1623 - 1628
[5] Using trial equation method to solve the exact solutions for two kinds of KdV equations with variable coefficients
Liu, CS
[J]. ACTA PHYSICA SINICA, 2005, 54 (10) : 4506 - 4510
[6] Generalized coupled nonlinear equations for the analysis of asymmetric two-core fiber coupler
Liu, M
Shum, P
[J]. OPTICS EXPRESS, 2003, 11 (02): : 116 - 119
[7] Hamiltonian dynamics of breathers with third-order dispersion
Mookherjea, S
Yariv, A
[J]. JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 2001, 18 (08) : 1150 - 1155
[8] Alternative coupled integrable optical soliton system with higher-order effects
Porsezian, K
[J]. PHYSICAL REVIEW E, 2003, 68 (06):
[9] All-optical pulse switching in twin-core fiber couplers with intermodal dispersion
Ramos, PM
Paiva, CR
[J]. IEEE JOURNAL OF QUANTUM ELECTRONICS, 1999, 35 (06) : 983 - 989
[10] Self-routing switching of solitonlike pulses in multiple-core nonlinear fiber arrays
Ramos, PM
Paiva, CR
[J]. JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 2000, 17 (07) : 1125 - 1133

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