Soliton Solutions to the Coupled Gerdjikov-Ivanov Equation with Rogue-Wave-Like Phenomena  

作　　者：Jian-Bing Zhang Ying-Yin Gongye Shou-Ting Chen 张建兵;公冶映茵;陈守婷(School of Mathematics and Statistics,Jiangsu Normal University;School of Mathematics and Physical Science,Xuzhou Institute of Technology)

机构地区：[1]School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou 221116 [2]School of Mathematics and Physical Science, Xuzhou Institute of Technology, Xuzhou 221008

出　　处：《Chinese Physics Letters》2017年第9期3-7,共5页中国物理快报（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant Nos 11671177 and 11271168;the Jiangsu Qing Lan Project(2014);the Six Talent Peaks Project of Jiangsu Province under Grant No 2016-JY-08

摘　　要：Bilinear forms of the coupled Gerdjikov–Ivanov equation are derived. The $N$-soliton solutions to the equation are obtained by Hirota＇s method. It is interesting that the two-soliton solutions can generate the rogue-wave-like phenomena by selecting special parameters. The equation can be reduced to the Gerdjikov–Ivanov equation as well as its bilinear forms and its solutions.Bilinear forms of the coupled Gerdjikov–Ivanov equation are derived. The $N$-soliton solutions to the equation are obtained by Hirota＇s method. It is interesting that the two-soliton solutions can generate the rogue-wave-like phenomena by selecting special parameters. The equation can be reduced to the Gerdjikov–Ivanov equation as well as its bilinear forms and its solutions.

关 键 词：exp Soliton Solutions to the Coupled Gerdjikov-Ivanov Equation with Rogue-Wave-Like Phenomena GI 

分 类 号：O175.29[理学—数学] O122.2[理学—基础数学]