| 变系数广义KdV方程的精确解 |
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| 引用本文： | 曹生让,秦爱玲. 变系数广义KdV方程的精确解[J]. 江苏教育学院学报, 2009, 0(3): 5-8 |
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| 作者姓名： | 曹生让 秦爱玲 |
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| 作者单位： | 江苏联合职业技术学院南京分院,江苏南京210019 |
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| 摘 要： | 本文主要研究变系数广义KdV方程的新的精确解．在行波约化，齐次平衡法和Jacobi椭圆函数的基础上，借助Mathematica软件和推广的F-展开法，求出并研究了变系数广义KdV方程的精确解，分析了解的结构，为进一步研究变系数广义KdV方程在自然科学领域的应用提供了理论依据．
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| 关 键 词： | F-展开法 变系数广义KdV方程 Jacobi椭圆函数 精确解 |
Exact solutions for the Generalized Variable-coefficient KdV Equati |
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| Affiliation: | CAO Shengrang QIN Ailin (Jiangsu Union Technical Institute Nanjing Branch, Nanjing, Jiangsu, 210019, China) |
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| Abstract: | In this paper, we study the new exact solutions for the generalized variable-coefficient KdV equation. Using Mathematica and the extended F- expansion method, the new exact solutions are obtained and researched on the base of the wave transformation, homogeneous balance and the Jacobi elliptic functions. Finally, the structure of these solutions are analysised. The results may contribute to theoretical research and applications in the natural science field. |
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| Keywords: | F-expansion the generalized variable-coefficient KdV equation Jacobi elliptic functions exact solutions |
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