标题： 孤子通过色散辐射加速：对极端波的贡献？ 显示英文标题

标题： Soliton acceleration by dispersive radiation: a contribution to rogue waves?

摘要： 极端波是具有极端振幅的孤立波，在非线性波传播中似乎是一种普遍现象，其唯一统一特征是需要非线性。 尽管已经展示了多种机制来解释特定系统中极端波的出现，但尚未有已知的通用机制或一组通用标准被证明可以排除其出现。 假设仅存在一个非线性薛定谔型方程以及在零色散波长附近的凹色散剖面，我们证明孤子可能会由于与连续谱辐射的相互作用而经历加速和强烈的重塑，从而产生极端值现象。 该机制与光学拉曼效应无关。 峰值功率的显著增加伴随着脉冲能量和载波频率的轻微增加，而孤子的光子数几乎保持不变。 这种重塑机制特别稳健，可能解释了极端波在一大类系统中的出现。 显示英文摘要

摘要： Rogue waves are solitary waves with extreme amplitudes, which appear to be a ubiquitous phenomenon in nonlinear wave propagation, with the requirement for a nonlinearity being their only unifying characteristics. While many mechanisms have been demonstrated to explain the appearance of rogue waves in a specific system, there is no known generic mechanism or general set of criteria shown to rule their appearance. Presupposing only the existence of a nonlinear Schr\"odinger-type equation together with a concave dispersion profile around a zero dispersion wavelength we demonstrate that solitons may experience acceleration and strong reshaping due to the interaction with continuum radiation, giving rise to extreme-value phenomena. The mechanism is independent of the optical Raman effect. A strong increase of the peak power is accompanied by a mild increase of the pulse energy and carrier frequency, whereas the photon number of the soliton remains practically constant. This reshaping mechanism is particularly robust and may explain the appearance of rogue waves in a large class of systems.