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High-order rogue waves of the coupled nonlinear Schrödinger equations with negative coherent coupling in an isotropic medium

2016; Elsevier BV; Volume: 39; Linguagem: Inglês

10.1016/j.cnsns.2016.04.005

1878-7274

Wen‐Rong Sun, Bo Tian, Xi-Yang Xie, Jun Chai, Yan Jiang,

Fractional Differential Equations Solutions

High-order rogue waves of the coupled nonlinear Schrödinger equations with negative coherent coupling, which describe the propagation of orthogonally polarized optical waves in an isotropic medium, are reported in this paper. Key point lies in the introduction of a limit process in the Darboux transformation, with which we obtain a family of the first- and second-order rational solutions for the purpose of modelling the rogue waves. We observe that the double-hump rogue wave in the course of evolution turns into the one-hump rogue wave, and that the dark rogue wave with four valleys in the course of evolution turns into the bright rogue wave. It is found that the second-order rogue wave can split up, giving birth to the multiple rogue waves.