Boussinesq方程的贝克隆变换和拉克斯对（英文）  

Bilinear Bcklund transformations and Lax pair for the Boussinesq equation

作　　者：白永强[1,2] 吕彦君[2] 

机构地区：[1]河南大学现代数学研究所,河南开封475004 [2]河南大学数学与统计学院,河南开封475004

出　　处：《暨南大学学报（自然科学与医学版）》2015年第1期89-94,共6页Journal of Jinan University(Natural Science & Medicine Edition)

基　　金：Supported by National Natural Science foundation of China(Grant No.10801045)

摘　　要：Hirota双线性法是构造可积系统孤子解的一种十分有效方法.利用该方法,非线性方程能够转化为线性方程,并且可由扰动法解出.我们讨论了双线性Boussinesq方程,并求得了其双线性贝克隆变换.由该变换出发,求得了方程的拉克斯对、检验了方程的可积性.Hirota＆#39;s bilinear approach is a very effective method to construct solutions for soliton sys-tems.In terms of this method,the nonlinear equations can be transformed into linear equations,and can be solved by using perturbation method.The bilinear Boussinesq equation was studied and its bilinear Bcklund transformation was obtained.Starting from this bilinear transformation,we also derive its Lax pair and test its integrability.

关 键 词：HIROTA 方法 D 算子 贝克隆变换 拉克斯对 

分 类 号：O175.29[理学—数学]