基于Hirota双线性方法的变系数BLMP方程的精确解  

The exact solutions of variable-coefficient BLMP equation based on Hirota bilinear method

作　　者：曹建莉[1] 韩景芳 CAO Jian-li;HAN Jing-fang(College of Science,Henan University of Technology,Zhengzhou 450001,China)

机构地区：[1]河南工业大学理学院,河南郑州450001

出　　处：《青海师范大学学报（自然科学版）》2021年第1期1-5,共5页Journal of Qinghai Normal University(Natural Science Edition)

基　　金：河南省研究生教育优质课程;河南省大学生创新创业计划项目;河南工业大学理学院教研项目.

摘　　要：本文基于Hirota双线性方法得到BLMP方程的双线性形式,在Wronskian解的基础上借助Pfaff式得到BLMP方程的Grammian解.通过BLMP方程的两种双线性变换,得到一个变系数的(2+1)-维BLMP方程,利用平衡法构造其Wronskian解和Grammian解,所得结果用Maya图表示.In this paper,the bilinear form of the BLMP equation is obtained based on the Hirota bilinear method,and the Grammian solution of the BLMP equation is obtained with the help of the Pfaff formula on the basis of the Wronskian solution.Through the two bilinear transformations of the BLMP equation,a(2+1)-dimensional BLMP equation with variable coefficients is obtained.The Wronskian solution and the Grammian solution are constructed using the balance method,and the results are expressed in Maya charts.

关 键 词：HIROTA双线性方法 BLMP方程 平衡法 Wronskian解 Grammian解 

分 类 号：O175.29[理学—数学]