| 高阶色散非线性薛定谔方程的精确波解 |
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| 引用本文： | 施业琼,韩松.高阶色散非线性薛定谔方程的精确波解[J].广西工学院学报,2009,20(2):19-22. |
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| 作者姓名： | 施业琼 韩松 |
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| 作者单位： | 广西工学院,信息与计算科学系,广西,柳州,545006 |
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| 基金项目： | 广西自然科学基金，广西工学院自然科学基金 |
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| 摘 要： | 利用行波约化方法,研究了用于描述飞秒光脉冲传输的高阶色散非线性薛定谔方程.通过借助一个新的高阶辅助方程的解,取得了该方程不同类型的包络型的孤波解、扭结波解、周期波解及奇异波解.
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| 关 键 词： | 高阶色散非线性薛定谔方程 高阶辅助方程 精确波解 |
Exact Wave Solutions for the High-order Dispersive Nonlinear Schr odinger Equation |
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| SHI Ye-qiong,HAN song.Exact Wave Solutions for the High-order Dispersive Nonlinear Schr odinger Equation[J].Journal of Guangxi University of Technology,2009,20(2):19-22. |
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| Authors: | SHI Ye-qiong HAN song |
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| Affiliation: | Information and Computing Science Department;Guangxi University of Technology;Liuzhou 545006;China |
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| Abstract: | By using the traveling wave reduction method, a new auxiliary differential equation and its solutions are used to construct the exact traveling wave solutions, some new exact solutions for the high-order dispersive nonlinear Schrodinger equation are obtained which include bell profile solutions, kink profile solutions, triangular periodic solutions and singular solutions. This equation is used to describe the propagation of femtosecond optical pulses in fibers. |
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| Keywords: | higher order dispersive nonlinear Schr odinger equation higher order auxiliary equation exact wave solution |
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