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带有高阶色散效应的非线性薛定谔方程的新周期解 被引量:1
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作者 王媛 《太原师范学院学报(自然科学版)》 2016年第3期12-15,共4页
对非线性演化方程精确解的研究在非线性物理现象中起着非常重要的作用,利用雅可比椭圆方程方法以及符号计算系统Maple,研究带有高阶色散效应以及包含三次-五次非线性的薛定谔方程.在一定的参数条件下,得到此方程9个椭圆函数解.这些椭圆... 对非线性演化方程精确解的研究在非线性物理现象中起着非常重要的作用,利用雅可比椭圆方程方法以及符号计算系统Maple,研究带有高阶色散效应以及包含三次-五次非线性的薛定谔方程.在一定的参数条件下,得到此方程9个椭圆函数解.这些椭圆函数解运用已有的方法是没有得到过的,并且这些解对于解释相应的物理现象是非常有用的. 展开更多
关键词 孤子 光纤孤子方程 椭圆方程 周期孤立波解
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Analytical Studies on 980 nm Pumped Erbium-doped Fiber Amplifiers
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作者 XIAGuangqiong CHENJIanguo 《Semiconductor Photonics and Technology》 CAS 1996年第1期14-17,共4页
Modeled with a three-level-atom appropriate to 980 nm pumped amplifiers,analytical solutions have been deduced for the rate equations of erbium-doped fiber amplifiers.Various key parameters of the amplifiers have been... Modeled with a three-level-atom appropriate to 980 nm pumped amplifiers,analytical solutions have been deduced for the rate equations of erbium-doped fiber amplifiers.Various key parameters of the amplifiers have been specified. 展开更多
关键词 Erbium-doped Fiber Amplifier Soliton Transmission Rate Equation
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Multi-Solitons and Combined Solitons with Self-Similar Behaviors in a Birefringent Fiber with Higher-Order Effects
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作者 吴红玉 蒋黎红 《Communications in Theoretical Physics》 SCIE CAS CSCD 2015年第6期721-726,共6页
A coupled variable-coefficient higher-order nonlinear Schrodinger equation in birefringent fiber is studied, and analytical multi-solton, combined bright and dark soliton, W-shaped and M-shaped soliton solutions are o... A coupled variable-coefficient higher-order nonlinear Schrodinger equation in birefringent fiber is studied, and analytical multi-solton, combined bright and dark soliton, W-shaped and M-shaped soliton solutions are obtained. Nonlinear tunnelling of these combined solitons in dispersion barrier and dispersion well on an exponential background is discussed, and the decaying or increasing, even lossless tunnelling behaviors of combined solitons are decided by the decaying or increasing parameter. 展开更多
关键词 coupled higher-order nonlinear SchrSdinger equation self-similar combined solitons nonlinear tunnelling
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