期刊文献+

Darboux Transformation and Soliton Solutions for Inhomogeneous Coupled Nonlinear Schr(o|¨)dinger Equations with Symbolic Computation

Darboux Transformation and Soliton Solutions for Inhomogeneous Coupled Nonlinear Schr(o|¨)dinger Equations with Symbolic Computation
在线阅读 下载PDF
导出
摘要 With the aid of computation, we consider the variable-coefficient coupled nonlinear Schrodinger equations with the effects of group-velocity dispersion, self-phase modulation and cross-phase modulation, which have potential applications in the long-distance communication of two-pulse propagation in inhomogeneous optical fibers. Based on the obtained nonisospectral linear eigenvalue problems (i.e. Lax pair), we construct the Darboux transformation for such a model to derive the optical soliton solutions. In addition, through the one- and two-soliton-like solutions, we graphically discuss the features of picosecond solitons in inhomogeneous optical fibers.
出处 《Communications in Theoretical Physics》 SCIE CAS CSCD 2009年第11期888-896,共9页 理论物理通讯(英文版)
基金 Supported by the National Natural Science Foundation of China under Grant No.60772023 the Open Fund of the State Key Laboratory of Software Development Environment under Grant No.BUAA-SKLSDE-09KF-04 Beijing University of Aeronautics and Astronautics,by the National Basic Research Program of China (973 Program) under Grant No.2005CB321901 the Specialized Research Fund for the Doctoral Program of Higher Education under Grant Nos.20060006024 and 200800130006 Chinese Ministry of Education
关键词 variable-coefficient coupled nonlinear Schrodinger equations optical solitons Darboux transformation symbolic computation 耦合非线性薛定谔方程 符号计算 达布变换 非均匀 孤子解 交叉相位调制 自相位调制 特征值问题
  • 相关文献

参考文献61

  • 1K. Nakkeeran, J. Phys. A 33 (2000) 4377.
  • 2P.K. Wai, H.H. Chen, and Y.C. Lee, Phys. Rev. A 41 (1990) 426.
  • 3B. Tian and Y.T. Gao, Phys. Lett. A 342 (2005) 228.
  • 4X.H. Meng, C.Y. Zhang, J. Li, T. Xu, H.W. Zhu, and B. Tian, Z. Naturforsch. A 62 (2007) 13.
  • 5R.Y. Hao, L. Li, Z.H. Li, and G.S. Zhou, Phys. Rev. E 70 (2004) 066603.
  • 6C.Q. Dai and J.F. Zhang, J. Phys. A 39 (2006) 723.
  • 7R.C. Yang, R.Y. Hao, L. Li, Z.H. Li, and G.S. Zhou, Opt Commun. 242 (2004) 285.
  • 8R.C. Yang, L. Li, R.Y. Hao, Z.H. Li, and G.S. Zhou, Phys Rev. E 71 (2005) 036616.
  • 9B. Tian and Y.T. Gao, Comput. Math. Appl. 31 (1996) 115.
  • 10B. Tian and Y.T. Gao, Phys. Lett. A 359 (2006) 241.

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部