一类离散可积系统的孤子解  

Soliton Solutions of a Class of Discrete Integrable Systems

作　　者：樊方成 周冉[2] FAN Fangcheng;ZHOU Ran(1.School of Mathematics and Statistics,Minnan Normal University,Zhangzhou 363000,Fujian Province,China;College of Mathematics,Jilin University,Changchun 130012,China)

机构地区：[1]闽南师范大学数学与统计学院,福建漳州363000 [2]吉林大学数学学院,长春130012

出　　处：《吉林大学学报（理学版）》2020年第6期1303-1308,共6页Journal of Jilin University:Science Edition

基　　金：福建省中青年教师教育科研项目(批准号:JAT190369);闽南师范大学校长基金(批准号:KJ19028).

摘　　要：利用Darboux变换方法讨论一类离散可积系统.先从新的初始解出发,利用Darboux变换给出方程的精确解,然后选择适当的参数,给出方程的1-钟型孤子解、1-扭结型孤子解、2-反钟型孤子解和周期解,并给出其图像,通过这些图像分析这些解的结构、弹性与非弹性碰撞.By using Darboux transformation method,we discussed a class of discrete integrable systems.Starting from a new initial solution,the exact solutions of the equation were given by using Darboux transformation,and then the 1-bell-shaped soliton solution,1-kink-shaped soliton solution,2-anti-bell-shaped soliton solution and periodic solutions of the equation were given by choosing the appropriate parameters,and the images of these solutions were given.We analyzed their structures,elastic and inelastic collisions of these solutions through these images.

关 键 词：离散可积系统 Darboux变换方法 孤子解 

分 类 号：O175.29[理学—数学]