Fig. 1. Simulations confirm the stability of the fundamental RW solutions (5), (6), and (10) against initial white noise perturbations. Left column: ; Middle column: . The right column shows the numerical excitation of such two rogue wave families from the same background field. Figure adapted from Ref. [109]. 数值模拟验证初始白噪声微扰下的基阶RW解(5)式, (6)式和 (10)式的稳定性, 左列图对应 , 中列图对应 . 右列图显示这两类RW结构在同一背景场中的数值激发. 图改编自文献[109]

Fig. 2. Simulation results of the complementary fundamental rogue wave solutions (18). Left column: unperturbed; Right column: perturbed by initial white noises. Figure adapted from Ref. [122]. 互补型基阶RW解(18)式的数值模拟结果. 左列图: 未微扰情形; 右列图: 白噪声微扰情形. 图摘自文献[122]

Fig. 3. Spatiotemporal evolution of the fundamental rogue wave solutions (23) of the NLS–MB equation. Column (a): Analytical solutions, given by 3D surface and contour plots; Column (b) the numerical results, with initial conditions being specified in the text; The column (c) shows the numerical excitation of the rogue waves, indicated by the black circles, from the background field. Figure adapted from Ref. [95]. NLS–MB方程的基阶RW解(23)的时空演化, 其中(a)列图对应解析解的3D曲面和轮廓图; (b)列图为数值模拟结果, 初始条件已文中给出; (c)列图显示这类异常波结构在背景场中的数值激发产生, 已黑线圈出. 图改编自文献[95]