| 两类变系数KdV方程的显示精确解 |
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| 引用本文： | 邢秀芝,吴景珠. 两类变系数KdV方程的显示精确解[J]. 河南师范大学学报(自然科学版), 2011, 39(1): 34-36 |
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| 作者姓名： | 邢秀芝 吴景珠 |
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| 作者单位： | 周口师范学院,数学系,河南,周口,466001 |
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| 基金项目： | 河南省基础与前沿技术研究计划项目，河南省教育厅自然科学基金项目 |
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| 摘 要： | 将(G'/G)-展开法扩展并应用到构造变系数非线性发展方程的显示精确解,发展了(G;/G)-展开法,并用该方法获得了第一类变系数KdV方程和第二类变系数KdV方程的丰富显示精确解,分别以含两个任意参数的双曲函数、三角函数及有理函数解表示.
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| 关 键 词： | 非线性发展方程 (G'/G)-展开法 变系数 KdV 方程 齐次平衡法 |
Explicit and Exact Solutions to Two Kinds of KdV Equations with Variable Coefficients |
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| XING Xiu-zhi,WU Jing-zhu. Explicit and Exact Solutions to Two Kinds of KdV Equations with Variable Coefficients[J]. Journal of Henan Normal University(Natural Science), 2011, 39(1): 34-36 |
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| Authors: | XING Xiu-zhi WU Jing-zhu |
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| Affiliation: | (Department of Mathematics,Zhoukou Normal University,Zhoukou 466001,China) |
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| Abstract: | The(G′/G) expansion method is extended and applied to construct the exact solutions of variable coefficient nonlinear evolution equation,abundant explicit and exact solutions of the first and the second variable coefficient KdV equation are successfully obtained by using the extended(G′/G) expansion method.The solutions are expressed by hyperbolic functions,trigonometric functions and rational functions contain double arbitrary parameters. |
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| Keywords: | nonlinear evolution equation (G′/G) expansion method variable coefficient KdV equation homogeneous balance |
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