摘要
先根据一类微分-差分方程的Lax对,构建该方程的N-foldDarboux变换,然后应用Darboux变换,得到该方程的精确解,通过软件画图给出该方程的1-孤子解、2-孤子解、3-孤子解和4-孤子解,并讨论3-孤子解和4-孤子解的弹性作用:相互作用后,孤子形状和振幅不发生变化。
Firstly,based on Lax pairs of a class of differential-difference equations, the N -fold Darboux transformation was constructed,and then we obtained the exact solutions of the equation by using the Darboux transformation. Through software drawing,we gave the one-,two-,three- and four-soliton solutions of the equation,and dicussed the elastic effect among the three solitons and four solitons: solitonic shapes and amplitudes do not change after interaction.
作者
樊方成
周冉
FAN Fangcheng;ZHOU Ran(College of Mathematics,Jilin University,Changchun 130012,China)
出处
《吉林大学学报（理学版）》
CAS
北大核心
2019年第4期762-766,共5页
Journal of Jilin University:Science Edition
基金
吉林省科技发展计划项目(批准号:20170520055JH)
