构造维数约化的变系数的B-type KP方程的解（英文）  

TO CONSTRUCT SOLUTIONS OF THE DIMENSIONALLY REDUCED VARIABLE-COEFFICIENT B-TYPE KADOMTSEV-PETVIASHVILI EQUATION

作　　者：张艳妮 庞晶[1] ZHANG Yan-ni;PANG Jing(College of Science, Inner Mongolia University of Technology, Hohhot 010051, China)

机构地区：[1]内蒙古工业大学理学院,内蒙古呼和浩特010051

出　　处：《数学杂志》2019年第1期121-127,共7页Journal of Mathematics

基　　金：Supported by National Natural Science Foundation of China(11561051);Key Laboratory of Inner Mongolia

摘　　要：本文研究了流体动力学中一个一般形式的(3+1)维的非线性变系数的B-type KP方程解的问题.利用双线性化及符号计算的方法,获得了维约化后的一般形式的(3+1)维的非线性变系数的B-type KP方程解,并用三维立体图形和等值线图将所求解的性质形象地展示出来.In this paper, we investigate a generalized(3+1)-dimensional variable-coefficient B-type Kadomtsev-Petviashvili equation in fluid dynamics. Based on bilinear forms, the solutions to dimensionally reduced generalized variable coefficient B-type Kadomtsev-Petviashvili equation in(3+1)-dimensions are computed through symbolic computation. The property of solutions is investigated and exhibited vividly by three dimensional plots and contour plots.

关 键 词：有理函数解 贝尔多项式理论 双线性形式 流体动力学 

分 类 号：O175.29[理学—数学]