Integrable turbulence for a coupled nonlinear Schrödinger system

Publication date: Available online 14 November 2019Source: Physics Letters AAuthor(s): Xi-Yang Xie, Sheng-Kun Yang, Chun-Hui Ai, Ling-Cai KongAbstractIn this manuscript, we aim to study turbulence for a coupled nonlinear Schrödinger system, and find the cause of the appearance of rogue waves in such system. The initial conditions are chosen as the constant backgrounds of unit amplitudes with random perturbations. We list some cases of the standard deviations of one component for the initial conditions, to investigate the influences of the initial conditions on the intensity profiles and peak amplitudes of the two chaotic fields. In addition, sets of complex eigenvalues are illustrated with three various standard deviations, from which we observe that Akhmediev breathers may split into solitons with the values of standard deviations increasing, which will lead to the probability of the appearance of rogue waves increases.
Source: Physics Letters A - Category: Physics Source Type: research

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