| KdV方程和Zakharov-Kuznetsov方程新的椭圆函数解 |
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| 引用本文： | 洪宝剑. KdV方程和Zakharov-Kuznetsov方程新的椭圆函数解[J]. 南京工程学院学报(自然科学版), 2010, 8(1): 1-7 |
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| 作者姓名： | 洪宝剑 |
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| 作者单位： | 南京工程学院基础部,江苏,南京,211167 |
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| 基金项目： | 南京工程学院科研基金 |
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| 摘 要： | 通过构造4个新的推广形式的Jacobi椭圆函数,扩展椭圆函数展开法、F-展开法和Riccati方程法.借助Mathematica软件,求出KdV方程、Zakharov-Kuznetsov方程一系列新的精确解,在极限情况下可得到相应的孤立波解和单周期波解.
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| 关 键 词： | KdV方程 Zakharov-Kuznetsov方程 扩展的Jacobi椭圆函数展开法 精确解 |
New Jacobi Elliptic Function Solutions of KdV Equation and Zakharov-Kuznetsov Equation |
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| HONG Bao-jian. New Jacobi Elliptic Function Solutions of KdV Equation and Zakharov-Kuznetsov Equation[J]. Journal of Nanjing Institute of Technology :Natural Science Edition, 2010, 8(1): 1-7 |
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| Authors: | HONG Bao-jian |
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| Affiliation: | HONG Bao-jian(Dept.of Basic Courses,Nanjing Institute of Technology,Nanjing 211167,China) |
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| Abstract: | Elliptic function expansion method,F-expansion method and Riccati equation expansion method were extended by constructing four new extended Jacobi elliptic founctions.With the aid of Mathematica software,a series of new exact solutions of KdV equation and Zakharov-Kuznetsov equation was obtained.In the limit case,the corresponding solitary wave solutions and the single triangle function solutions were produced. |
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| Keywords: | KdV equation Zakharov-Kuznetsov equation extended Jacobi elliptic function expansion method exact solution |
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