论文标题
扁平和薄色孤子的反射无反射电势和共振散射
Reflectionless potentials and resonant scattering of flat-top and thin-top solitons
论文作者
论文摘要
我们确定了一类电势，这些电势可以无反射，以双重非线性散射非线性schrödinger方程。散射的特征在于完全传输和完全量子反射的策略之间的尖锐共振。从辐射损失的幅度方面的扰动扩张会导致无反射电位的一般形式。模拟平面孤子和薄壁孔的散射证实了这些电势的无反射特征。
We identify a class of potentials for which the scattering of flat-top solitons and thin-top solitons of the nonlinear Schrödinger equation with dual nonlinearity can be reflectionless. The scattering is characterized by sharp resonances between regimes of full transmission and full quantum reflection. Perturbative expansion in terms of the magnitude of radiation losses leads to the general form of reflectionless potentials. Simulating the scattering of flat-top solitons and thin-top solitons confirms the reflectionless feature of these potentials.
