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物理学报. 2006, 55(8): 3858-3863.
doi: 10.7498/aps.55.3858.
一般变换下双Jacobi椭圆函数展开法及应用
- 收稿日期: 2005-11-11
- 修回日期: 2006-04-25
- 刊出日期: 2006-08-20
摘要: 将行波变换下修正的双Jacobi椭圆函数展开法推广到范围广泛的一般函数变换下进行.利用这一方法求得了一类非线性方程更多新的周期解，这些解包括了在行波变换下所求得的周期解.
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关键词:
- Jacobi椭圆函数展开法 /
- 非线性发展方程 /
- 函数变换 /
- 周期解
English Abstract
Double Jacobian elliptic function expansion method under a general function transform and its applications
- Received Date:
11 November 2005
- Accepted Date:
25 April 2006
- Published Online:
20 August 2006
Abstract: A modified double Jacobian elliptic function expansion method under a general function transform, which is more general than the Jacobian elliptic function expansion method under a travelling wave transform, is proposed to construct the exact solutions of nonlinear evolution equations. Some new exact periodic solutions are obtained by this method which include previous solutions, replenishing the known results of the equations.
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