Chang Guoqing, Winful Herbert G, Galvanauskas Almantas, Norris Theodore B
FOCUS Center and Center for Ultrafast Optical Science, University of Michigan, Ann Arbor, Michigan 48109-2099, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2006 Jan;73(1 Pt 2):016616. doi: 10.1103/PhysRevE.73.016616. Epub 2006 Jan 25.
Self-similar propagation in a system of coupled amplified nonlinear Schrödinger equations is studied. We find that each individual amplified nonlinear Schrödinger equation can sustain a component similariton with a quadratic phase, which is the asymptotic self-similar solution of the corresponding equation. Under a width-matching condition, the incoherent summation of all the component similaritons leads to another similariton with parabolic profile. Numerical simulations show that this incoherent parabolic similariton maintains all the characteristics of its coherent counterpart.
研究了耦合放大非线性薛定谔方程组中的自相似传播。我们发现，每个单独的放大非线性薛定谔方程都可以维持一个具有二次相位的分量类孤子，它是相应方程的渐近自相似解。在宽度匹配条件下，所有分量类孤子的非相干叠加会产生另一个具有抛物线轮廓的类孤子。数值模拟表明，这种非相干抛物线类孤子保持了其相干对应物的所有特征。
