| Konopelchenko-Dubrovsky方程的周期解 |
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| 作者姓名： | ZHANG Jin-liang ZHANG Ling-yuan WANG Ming-liang |
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| 作者单位： | [1]DepartmentofMathematicsandPhysics,HenanUniversityofScienceandTechnology,Luoyang471003,China [2]DepartmentofMathematicsandPhysics,HenanUniversityofScienceandTechnology,Luoyang471003,China／／DepartmentofMathematics,LanzhouUniversity,Lanzhou730000,China [3]DepartmentofMathematicsandPhysics,HenanUniversityofScienceandTechnology,Luoyang471003,China／／DepartmentofFinance,ShanghaiTVUniversity,Shanghai200092,China |
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| 基金项目： | Supported by the Natural Science Foundation of Education Committee of Henan Province(2003110003)
Supported by the Natural Science Foundation of Henan Province(0111050200) |
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| 摘 要： | By using F-expansion method proposed recently, we derive the periodic wave solution expressed by Jacobi elliptic functions for Konopelchenko-Dubrovsky equation. In the limit case, the solitary wave solution and other type of the traveling wave solutions are derived.
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| 关 键 词： | Konopelchenko-Dubrovsky函数 F-展开法 雅克比椭圆型偏微分方程 周期波解 孤立波 |
Periodic Wave Solutions for Konopelchenko-Dubrovsky Equation |
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| ZHANG Jin-liang,ZHANG Ling-yuan,WANG Ming-liang.Periodic Wave Solutions for Konopelchenko-Dubrovsky Equation[J].Chinese Quarterly Journal of Mathematics,2005,20(1):72-78. |
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| Authors: | ZHANGJin-liang ZHANGLing-yuan WANGMing-liang |
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| Abstract: | By using F-expansion method proposed recently, we derive the periodic wave solution expressed by Jacobi elliptic functions for Konopelchenko-Dubrovsky equation. In the limit case, the solitary wave solution and other type of the traveling wave solutions are derived. |
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| Keywords: | Konopelchenko-Dubrovsky equation F-expansion method Jacobi elliptic functions periodic wave solution solitary wave solution |
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