Multi-rogue waves for the (3+1)-dimensional coupled higherorder nonlinear Schrödinger equations in optical fiber

Abstract

In this work, we study exact solutions of a (3+1)-dimensional higher-order coupled Schrodinger equation with higher-order terms, the dispersion and the nonlinear coefficients engendering temporal dependency. Similarity transformations are used to convert the nonautonomous equations into autonomous coupled Hirota equations, then we present the multi-rogue wave solutions with arbitrary constants employing the Darboux transformations. At last, the first order and second order rogue wave solutions with arbitrary constants are considered for the 3DHCNLSE with variable coefficients by using the similarity transformation and Darboux transformation. The obtained (3+1)-dimensional multi-rogue wave solutions can be used to describe the dynamics waves in the deep ocean and nonlinear optical fibers.