DSW 方程
外觀
DSW 方程(Drinfeld-Solokov-Wilson equation)是一組非線性偏微分方程[1]:
解析解
[編輯]DSW方程有多種解析解[2]
對稱消減法
[編輯]![](http://upload.wikimedia.org/wikipedia/commons/thumb/d/d5/DSW_Equation_symmetry_reduction_method_animation.gif/200px-DSW_Equation_symmetry_reduction_method_animation.gif)
用減對稱法可求DSW方程的解析解[3]
參數:c2 = .5, c1 = 1.4, m = 2.3
變分法
[編輯]![](http://upload.wikimedia.org/wikipedia/commons/thumb/4/42/DSW_Equation_variational_method_animation.gif/200px-DSW_Equation_variational_method_animation.gif)
[4]。
達布變換法
[編輯]
![](http://upload.wikimedia.org/wikipedia/commons/thumb/1/12/DSW_breather_with_Dabourx_transform.gif/200px-DSW_breather_with_Dabourx_transform.gif)
同倫法
[編輯]![](http://upload.wikimedia.org/wikipedia/commons/thumb/2/2f/Drinfeld-Sokolov-Wilson_Equation_Homotopy_method_animation.gif/200px-Drinfeld-Sokolov-Wilson_Equation_Homotopy_method_animation.gif)
行波分析法
[編輯]參考文獻
[編輯]- ^ Esmaeil Alibeiki and Ahmad Neyrameh Application of Homotopy Perturbation Method to Nonlinear Drinfeld-Sokolov-Wilson Equation
- ^ Esmaeil Alibeiki and Ahmad Neyrameh Application of Homotopy Perturbation Method to Nonlinear Drinfeld-Sokolov-Wilson Equation
- ^ B.Kauer, Symmetry Reduction Mothod for Exact Solution of some Nonlinear Systems p27
- ^ Wei-Min Zhang Solitary Solutions and Singular Periodic Solutions of the Drinfeld-Sokolov-Wilson Equation by Variational Approach,Applied Mathematical Sciences, Vol. 5, 2011, no. 38, 1887 - 1894
- ^ 耿獻國、吳麗華《Darboux Transformation and Explicit Solutions for Drinfeld–Sokolov–Wilson Equation
- ^ Esmaeil Alibeiki and Ahmad Neyrameh,Application of Homotopy Perturbation Method to Nonlinear Drinfeld-Sokolov-Wilson Equation
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