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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