“…Rogue wave (Bludov et al , 2010; Guo et al , 2012; Wang et al , 2014; Chen et al , 2015; Wang et al , 2015; Wang et al , 2015; Zhang and Chen, 2017; Akhmediev et al , 2009a, 2009b) is a particular type of solitary wave, which should be in charge of many marine disasters because it appears from nowhere and disappears without a trace. By virtue of extended homoclinic test approach and parameter limit method, the breather and rouge wave solutions have been constructed for a number of NLEEs, including the (2 + 1)-dimensional Ito equation (Wang et al , 2017), the variable-coefficient KP equation (Chai et al , 2016), the coupled Hirota system (Zhao et al , 2016), the CHKP equation (Qin et al , 2018), coupled nonlinear Schrödinger equation (Feng and Zhang, 2018), higher-order nonlinear Schrödinger equation (Wang et al , 2018), (3 + 1)-dimensional KdV-type equation (Liu and Liu, 2019) and the (4 + 1)-dimensional Fokas equation (Tan et al , 2018).…”