基于Hirota方法的反向非线性可积方程的孤子解研究  

Research on Soliton Solutions of Inverse Nonlinear Integrable Equations based on Hirota's Method

作　　者：王从徐 WANG Congxu(Department of Education,Chuzhou City Vocational College,Chouzhou 239000,China)

机构地区：[1]滁州城市职业学院教育系,安徽滁州239000

出　　处：《成都工业学院学报》2023年第3期70-75,共6页Journal of Chengdu Technological University

基　　金：职业教育精品在线开放课程“高等数学”(2021tjpzxkfkc05);安徽省高等学校人文社会科学重点研究项目(SK2021A0978);滁州城市职业学院高职扩招专项重点项目(2021kzzx01)。

摘　　要：利用Hirota方法研究几类反向非线性可积方程的求解,在分别求得反向AKNS方程、非等谱反向AKNS和反向Ablowitz-Ladik(A-L)方程的单孤子的基础上,进一步给出反向A-L方程的孤子解。利用Hirota方法对反向AKNS和非等谱反向AKNS求解,推导出两方程的孤子解。通过类似的推导方法求得不同非线性可积方程的孤子解,所得结果是对现有结论的推广。The Hirota method was used to solve some reverse nonlinear integrable equations.On the basis of obtaining the single solitons of the reverse AKNS equation,the non-isospectral reverse AKNS equation and the reverse Ablowitz-Ladik(A-L)equation,the solitons of the reverse A-L equation were further obtained.The Hirota method was used to solve the inverse AKNS and the nonisospectral inverse AKNS,and the soliton solutions of the two equations were derived.The soliton solutions of different nonlinear integrable equations are obtained by similar derivation methods,and the obtained results are generalizations of the existing results.

关 键 词：孤子解 HIROTA方法 反向AKNS方程 反向Ablowitz-Ladik方程 

分 类 号：O14[理学—数学]