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| 摘要: |
| 本文研究了构造一类高维的非线性变系数的偏微分方程解的问题. 利用贝尔多项式理论及双线性化的方法,将高维的非线性变系数的偏微分方程通过适当的变换转化为低维方程进行求解,获得了新型有理函数解,此方法可推广到力学相关学科领域的高维度方程模型中. |
| 关键词: 有理函数解 贝尔多项式理论 双线性化 流体动力学 |
| DOI： |
| 分类号:0175.29 |
| 基金项目:中国国家自然科学基金,国家自然科学基金项目（面上项目，重点项目，重大项目） |
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| To construct solutions of the dimensionally reduced variable-coefficient B-type Kadomtsev-Petviashvili equation |
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zhangyanni,pangjing
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| Abstract: |
| This paper investigates 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 is computed through symbolic computation.~The property of solutions are investigated and exhibited vividly by three dimensional plots and contour plots. |
| Key words: Rational solution Bell Polynomial theories Bilinear forms Fluid Dynamics. |
