We unveil a mechanism enabling a fundamental rogue wave, expressed by a rational function of fourth degree, to reach a peak amplitude as high as a thousand times the background level in a system of coupled nonlinear Schrödinger equations involving both incoherent and coherent coupling terms with suitable coefficients. We obtain the exact explicit vector rational solutions using a Darboux-dressing transformation. We show that both components of such coupled equations can reach extremely high amplitudes. The mechanism is confirmed in direct numerical simulations and its robustness is confirmed upon noisy perturbations. Additionally, we showcase the fact that extremely high peak-amplitude vector fundamental rogue waves (of about 80 times the background level) can be excited even within a chaotic background field.

我们揭示了一种机制，该机制使四阶有理函数表示的基本无赖波能够在包含非相干和相干耦合项且具有适当耦合项的耦合非线性Schrödinger方程组中达到高达背景水平一千倍的峰值幅度系数。我们使用Darboux-dressing变换获得确切的显式矢量有理解。我们证明了这种耦合方程的两个分量都可以达到极高的幅度。该机制已在直接数值模拟中得到证实，其鲁棒性已在嘈杂的扰动下得到证实。此外，我们展示了这样一个事实，即使即使是在同一波长范围内，也可以激发极高的峰振幅矢量基本流氓波（约为背景水平的80倍）。混沌背景场。