| 形变映射法求非线性薛定谔方程的显示精确行波解 |
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| 引用本文： | 钟太勇,刘利敏,贾卫红. 形变映射法求非线性薛定谔方程的显示精确行波解[J]. 西南民族学院学报(自然科学版), 2007, 33(6): 1264-1268 |
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| 作者姓名： | 钟太勇 刘利敏 贾卫红 |
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| 作者单位： | 郧阳师范高等专科学校数学系，云南民族大学数学与计算机科学学院，郧阳师范高等专科学校数学系 湖北十堰442000 云南民族大学数学与计算机科学学院，云南昆明650031，云南昆明650031，湖北十堰442000 |
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| 摘 要： | 利用形变映射法,建立NLS方程与Klein-Gordon(NKG)非线性方程的一类特殊类型解的代数变换关系,根据NKG方程的已知解,获得NLS方程系统丰富的显式精确行波解,包括孤波解,周期波解,雅可比椭圆函数解.
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| 关 键 词： | 形变映射法 NLS方程 非线性Klein-Gordon(NKG)方程 行波解 |
| 文章编号： | 1003-2843（2007）06-1264-05 |
| 收稿时间： | 2007-01-04 |
| 修稿时间： | 2007-01-04 |
Searching for explicit traveling wave solutions of the NLS equation by means of deformation mapping method |
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| ZHONG Tai-yong,LIU Li-min,JIA Wei-hong. Searching for explicit traveling wave solutions of the NLS equation by means of deformation mapping method[J]. Journal of Southwest Nationalities College(Natural Science Edition), 2007, 33(6): 1264-1268 |
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| Authors: | ZHONG Tai-yong LIU Li-min JIA Wei-hong |
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| Abstract: | Deformation mapping method is applied to obtain exact solutions of the NLS equation. A simple algebraic transformation relation of a special type of solution between the NLS equation and the cubic nonlinear Klein-Gordon (NKG) equation is established. With the aid of this relation and known solutions of the NKG equation,abundant explicit and exact traveling wave solutions,which contain solitary wave solutions,periodic wave solutions,Jacobian elliptic function solutions and others exact solutions,are obtained. |
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| Keywords: | deformation mapping method NLS equation nonlinear Klein-Gordon equation traveling wave solution |
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