Rational W-shaped solitons on a continuous-wave background in the Sasa-Satsuma equation.
Rational W-shaped solitons on a continuous-wave background in the Sasa-Satsuma equation.
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DOI：
10.1103/physreve.89.023210
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发表时间：
2014-02
期刊：
影响因子：
--
通讯作者：
Li-Chen Zhao;Sheng-Chang Li;Liming Ling
中科院分区：
文献类型：
--
作者：
Li-Chen Zhao;Sheng-Chang Li;Liming Ling
我们研究了连续背景下Sasa-Satsuma方程的有理形式的解，该方程描述了具有高阶效应的非线性光纤系统，包括三阶色散、克尔色散和受激非弹性散射。解析地得到了系统中的W形孤子。结果表明，在一定的参数范围内，孤子峰的高度随背景频率的降低而增大。孤立子的最大高度可以达到背景高度的三倍，其轮廓与著名的具有最大峰值的眼状无赖波的轮廓相同。数值模拟表明，W形孤立子在小扰动下是稳定的。特别地，我们通过精确的频谱分析证明了W形孤子对应于稳定的超连续谱脉冲。
We investigate the solution in rational form for the Sasa-Satsuma equation on a continuous background which describes a nonlinear fiber system with higher-order effects including the third-order dispersion, Kerr dispersion, and stimulated inelastic scattering. The W-shaped soliton in the system is obtained analytically. It is found that the height of hump for the soliton increases with decreasing the background frequency in certain parameter regime. The maximum height of the soliton can be three times the background's height and the corresponding profile is identical with the one for the well-known eye-shaped rogue wave with maximum peak. The numerical simulations indicate that the W-shaped soliton is stable with small perturbations. Particularly, we show that the W-shaped soliton corresponds to a stable supercontinuum pulse by performing exact spectrum analysis.