| 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. |
| 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 |
| DOI： |
| 分类号:O175.29 |
| 基金项目:Supported by National Natural Science Foundation of China (11561051); Key Laboratory of Inner Mongolia. |
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| TO CONSTRUCT SOLUTIONS OF THE DIMENSIONALLY REDUCED VARIABLE-COEFFICIENT B-TYPE KADOMTSEV-PETVIASHVILI EQUATION |
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ZHANG Yan-ni, PANG Jing
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College of Science, Inner Mongolia University of Technology, Hohhot 010051, China
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| Abstract: |
| 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. |
| Key words: rational solution Bell polynomial theories bilinear forms fluid dynamics |
