变系数(2+1)维Sawada-Kotera方程的多孤子解  

Multiple soliton solutions of the(2+1)dimensional Sawada-Kotera equation with variable coefficients

作　　者：耿勇 张金玉[1] 王丹[1] 李春晖 王晓丽[1] GENG Yong;ZHANG Jinyu;WANG Dan;LI Chunhui;WANG Xiaoli(Mathematics and Artificial Intelligence Department,Qilu University of Technology(Shangdong Academy of Sciences),Jinan 250353,China)

机构地区：[1]齐鲁工业大学(山东省科学院)数学与人工智能学部,山东济南250353

出　　处：《齐鲁工业大学学报》2023年第2期19-25,共7页Journal of Qilu University of Technology

基　　金：国家自然科学基金(12275017)。

摘　　要：借助Bell多项式和Hirota双线性算子理论,研究变系数(2+1)维Sawada-Kotera方程的多孤子解。首先介绍Bell多项式和Hirota双线性算子的基本理论,然后借助二者之间的关系详细推导出变系数(2+1)维Sawada-Kotera方程的双线性形式,再用摄动法对双线性形式进行求解得到其多孤子解,最后分析多孤子图像。With the help of Bell polynomials and Hirota bilinear operator theory,the multi-soliton solution of the variable coefficient(2+1)dimensional Sawada-Kotera equation is studied.Firstly,the basic theory of Bell polynomials and Hirota bilinear operators is introduced,and then the bilinear form of the variable coefficient(2+1)dimensional Sawada-Kotera equation is deduced in detail with the help of the relationship between the two,and then the perturbation method is used to analyze the bilinear form to obtain the multi-soliton solution,and finally the multi-soliton image is analyzed.

关 键 词：Sawada-kotara方程 BELL多项式 Hirota双线性算子 摄动法 孤子解 

分 类 号：O29[理学—应用数学]