Localized waves of the coupled cubic–quintic nonlinear Schrödinger equations in nonlinear optics*

Project supported by the Global Change Research Program of China (Grant No. 2015CB953904), the National Natural Science Foundation of China (Grant Nos. 11675054 and 11435005), the Shanghai Collaborative Innovation Center of Trustworthy Software for Internet of Things (Grant No. ZF1213), and the Natural Science Foundation of Hebei Province, China (Grant No. A2014210140).

Xu Tao1, 3, Chen Yong1, 2, 3, †, Lin Ji2
       

(color online) Evolution plot of the interactional solution between the second-order rogue wave of fundamental pattern and two-breather in the CCQNLS equations with the parameters chosen by α = 1/1000, ρ1 = 1/10, ρ2 = 1/20, d1 = 1, d2 = −1, m1 = 0, n1 = 0. Two parallel breathers and a fundamental second-order rogue wave exist in the two components: (a) q1 component, (b) q2 component.