标题： 几何势中的孤子 显示英文标题

标题： Solitons in geometric potentials

摘要： 我们证明，在波纹板波导中存在的几何诱导势对孤子的性质有显著影响。 特别是，位于势能极大值处的孤子不具有功率阈值并且是稳定的，而位于势能极小值处的孤子是不稳定的，并可能表现出存在的功率阈值。 此外，几何势被证明可以支持稳定得多极孤子，这些孤子不能被直波导支持。 最后，几何势导致有效障碍的出现，这些障碍会阻止横向孤子运动。 显示英文摘要

摘要： We show that the geometrically-induced potential existing in undulated slab waveguides dramatically affects the properties of solitons. In particular, whereas solitons residing in the potential maxima do not feature power thresholds and are stable, their counterparts residing in the potential minima are unstable and may exhibit a power threshold for their existence. Additionally, the geometric potential is shown to supports stable multipole solitons that cannot be supported by straight waveguides. Finally, the geometric potential results in the appearance of the effective barriers that prevent transverse soliton motion.