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Analysis of soliton stability and interactions in a system with nonlinear gain

机译:具有非线性增益的系统中孤子稳定性和相互作用的分析

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Abstract: The soliton propagation and interaction characteristics in the presence of spectral filtering, linear and nonlinear gain are investigated. We show that, as the linear gain vanishes, the steady-state soliton amplitude and inverse duration diverge. The nonlinear gain is shown to have a significant impact on the soliton interaction when the adjacent solitons have different phases or amplitudes. In these cases, a $pi phase difference between adjacent pulses is induced when the nonlinear gain only partially replaces the linear gain. As the linear gain vanishes, the phase difference varies continuously and the solitons oscillate only slightly around their initial time separation. !24
机译:摘要:研究了在存在频谱滤波,线性和非线性增益的情况下孤子的传播和相互作用特性。我们表明,随着线性增益的消失,稳态孤子振幅和倒数持续时间会发散。当相邻的孤子具有不同的相位或幅度时,非线性增益对孤子的相互作用有重要影响。在这些情况下,当非线性增益仅部分替代线性增益时,会在相邻脉冲之间产生$ pi相位差。随着线性增益消失,相位差连续变化,孤子仅在其初始时间间隔附近振荡很小。 !24

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