| Boussinesq方程新的Jacobi椭圆函数周期解 |
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| 引用本文： | 洪宝剑,袁一华. Boussinesq方程新的Jacobi椭圆函数周期解[J]. 南京工程学院学报(自然科学版), 2008, 6(4): 1-8 |
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| 作者姓名： | 洪宝剑 袁一华 |
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| 作者单位： | 1. 南京工程学院基础部,江苏,南京,211167
2. 丹阳市豆庄中学,江苏,丹阳,212325 |
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| 基金项目： | 南京工程学院科研基金项目 |
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| 摘 要： | 将Jacobi椭圆函数展开法进一步扩展为4个函数的形式，且利用这一方法求出了Boussinesq方程的一系列新的精确周期解，在极限情况下可得到相应的孤立波解和单周期波解，丰富和简化了前人研究的结果．
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| 关 键 词： | Boussinesq方程 扩展的Jacobi椭圆函数展开法 孤立波解 精确解 |
New Period Solution to Jacobi Elliptic Function for Boussinesq Equation |
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| HONG Bao-jian,YUAN Yi-hua. New Period Solution to Jacobi Elliptic Function for Boussinesq Equation[J]. Journal of Nanjing Institute of Technology :Natural Science Edition, 2008, 6(4): 1-8 |
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| Authors: | HONG Bao-jian YUAN Yi-hua |
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| Affiliation: | HONG Bao-jian1,YUAN Yi-hua2(1.Dept.of Basic Courses,Nanjing Institute of Technology,Nanjing 211167,China,2.Douzhuang Middle School of Danyang City,Danyang 212325,China) |
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| Abstract: | Jacobi Elliptic functions were extended to four functions,which gave rise to a series of new exact period solutions to Boussinesq equation.In the limit case,the corresponding solitary wave solutions and the single triangle function solutions were derived,thereby replenishing and simplifying the previous research findings. |
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| Keywords: | Boussinesq equation extended Jacobian elliptic function expansion method solitary wave solutions exact solutions |
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