The subsidiary elliptic-like equation and the exact solutions of the higher-order nonlinear Schrodinger equation
The subsidiary elliptic-like equation and the exact solutions of the higher-order nonlinear Schrodinger equation
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DOI：
10.1016/j.chaos.2006.02.002
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发表时间：
2007-08
影响因子：
7.8
通讯作者：
Jinliang Zhang;Mingliang Wang;Xiuge Li
中科院分区：
文献类型：
--
作者：
Jinliang Zhang;Mingliang Wang;Xiuge Li
利用齐次平衡原理，借助于耦合的射影Riccati方程，得到了辅助椭圆型方程的精确解。研究了描述超短脉冲在非线性光纤中传输的高阶非线性薛定谔方程，通过上述简单变换和辅助椭圆型方程，得到了它的各种精确解。
By using the homogeneous balance principle, the exact solutions of the subsidiary elliptic-like equation are derived with the aid of the coupled projective Riccati equations. The higher-order nonlinear Schrödinger equation describing the propagation of ultrashort pulses in nonlinear optical fibers is researched and its various exact solutions are derived by means of the simple transformation and the subsidiary elliptic-like equation mentioned above.