Partially nonlocal bright-dark rogue waves and bright-bright rogue wave pairs of a vector nonlinear Schrodinger equation

The partially nonlocal vector nonlinear Schrodinger equation governs the partially nonlocal nonlinear response of the self-phase and cross-phase modulations in optics and intra-and interspecies atomic nonlocal interactions in BECs. The influence of different diffractions in x- and y-direction on the excitation of partially nonlocal vector rogue waves is hardly studied. This paper aims to study this issue based on a variable-coefficient (3+1)-dimensional vector nonlinear Schrodinger equation with the partially nonlocal nonlinearity for different diffractions by reducing into a constant-coefficient vector nonlinear Schrodinger equation, whose solutions are used to construct analytical solutions of the variable-coefficient vector equation. Exploiting the nonrecursive Darboux method, partially nonlocal vector bright-dark rogue waves and bright- bright rogue wave pairs are revealed. Versatile excitations of these rogue waves are discussed in the sinusoidal and exponential diffraction systems by comparing the maximal value of the accumulated time with the value of the excited location for rogue wave. For the same value of beta(1) or beta(2), with the add of the magnitude beta(20) or beta(10) of the initial diffraction in the y- or x-direction, the amplitude and widths of maximally or early excited figurations of bright-dark rogue waves both increase in the exponential system. These results in this paper deepen our comprehension of ultrashort wave phenomena found in the various fields of physics and engineering including optics, BECs and plasma.

Automated summary

This paper investigates the influence of different diffractions on the excitation of partially nonlocal vector rogue waves. By reducing the equation to a constant-coefficient vector nonlinear Schrodinger equation, analytical solutions are obtained. Using the nonrecursive Darboux method, partially nonlocal vector bright-dark rogue waves and bright-bright rogue wave pairs are revealed. The results deepen our understanding of ultrashort wave phenomena in various fields.