| Explicit Solutions of （2A-1）-Dimensional Canonical Generalized KP,KdV, and （2A-1）-Dimensional Burgers Equations with Variable Coefficients |
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| 作者姓名： | ZHANG Lin-Lin LIU Xi-Qiang |
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| 作者单位： | School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, China |
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| 基金项目： | Supported by the Natural Science Foundation of Shandong Province under Grant Nos. Q2005A01 and Y2007G64 |
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| 摘 要： | In this paper, using the generalized （G1/G）-expansion method and the auxiliary differential equation method, we discuss the （2＋1）-dimensional canonical generalized KP （CGKP）, KdV, and （2＋1）-dimensional Burgers equations with variable coetticients. Many exact solutions of the equations are obtained in terms of elliptic functions, hyperbolic functions, trigonometric functions, and rational functions.
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| 关 键 词： | Burgers方程 KdV方程 广义 显式解 变系数 微分方程 椭圆函数 双曲函数 |
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