| 形变映射法求Hamilton方程的行波解 |
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| 引用本文： | 刘利敏,张运章,王建宏.形变映射法求Hamilton方程的行波解[J].云南民族大学学报(自然科学版),2007,16(1):9-12. |
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| 作者姓名： | 刘利敏 张运章 王建宏 |
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| 作者单位： | 云南民族大学,数学与计算机科学学院,云南,昆明,650031 |
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| 摘 要： | 利用形变映射法,建立Ham ilton方程与K le in-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Ham ilton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 Hamilton方程 非线性Klein-Gordon(NKG)方程 行波解 |
| 文章编号： | 1672-8513(2007)01-0009-04 |
| 修稿时间： | 2006年5月22日 |
Traveling Wave Solutions for the Hamilton Equation by Deforming Mapping Method |
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| Liu Limin,Zhang Yunzhang,Wang Jianhong.Traveling Wave Solutions for the Hamilton Equation by Deforming Mapping Method[J].Journal of Yunnan Nationalities University:Natural Sciences Edition,2007,16(1):9-12. |
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| Authors: | Liu Limin Zhang Yunzhang Wang Jianhong |
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| Abstract: | Deformation mapping method is applied to obtain exact solutions of the Hamilton equation.A simple algebraic transformation relation of a special type of solution between the Hamilton equation and the cubic nonlinear Klein-Gordon(NKG) equation is established.With the this relation and solved 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 the Hamilton equation nonlinear Klein-Gordon equation traveling wave solution |
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