Soliton molecules and dynamics of the smooth positon for the Gerdjikov–Ivanov equation  

作　　者：Xiangyu Yang Zhao Zhang Biao Li 杨翔宇;张钊;李彪(School of Mathematics and Statistics,Ningbo University,Ningbo 315211,China)

机构地区：[1]School of Mathematics and Statistics,Ningbo University,Ningbo 315211,China

出　　处：《Chinese Physics B》2020年第10期180-185,共6页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant Nos. 11775121 and 11435005);the K. C. Wong Magna Fund in Ningbo University.

摘　　要：Soliton molecules are firstly obtained by velocity resonance for the Gerdjikov–Ivanov equation, and n-order smooth positon solutions for the Gerdjikov–Ivanov equation are generated by means of the general determinant expression of n-soliton solution. The dynamics of the smooth positons of the Gerdjikov–Ivanov equation are discussed using the decomposition of the modulus square, the trajectories and time-dependent "phase shifts" of positons after the collision can be described approximately. Additionally, some novel hybrid solutions consisting solitons and positons are presented and their rather complicated dynamics are revealed.

关 键 词：soliton molecules degenerate Darboux transformation positons phase shift Gerdjikov-Ivanov equation 

分 类 号：O15[理学—数学]