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| Konopelchenko-Dubrovsky方程的周期解 | |
| 引用本文： | ZHANG Jin-liang,ZHANG Ling-yuan,WANG Ming-liang (Department of Mathematics and Physics,Henan University of Science and Technology,Luoyang 471003,China, Department of Mathematics,Lanzhou University,Lanzhou 730000,China, Department of Finance,Shanghai TV University,Shanghai 200092,China). Konopelchenko-Dubrovsky方程的周期解[J]. 数学季刊, 2005, 20(1): 72-78 |
| 作者姓名： | ZHANG Jin-liang ZHANG Ling-yuan WANG Ming-liang (Department of Mathematics and Physics Henan University of Science and Technology Luoyang 471003 China Department of Mathematics Lanzhou University Lanzhou 730000 China Department of Finance Shanghai TV University Shanghai 200092 China) |
| 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 |
| 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) |
| 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. |
| 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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| ZHANGJin-liang ZHANGLing-yuan WANGMing-liang. Periodic Wave Solutions for Konopelchenko-Dubrovsky Equation[J]. Chinese Quarterly Journal of Mathematics, 2005, 20(1): 72-78 | |
| Authors: | ZHANGJin-liang ZHANGLing-yuan WANGMing-liang |
| 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. |
| Keywords: | Konopelchenko-Dubrovsky equation F-expansion method Jacobi elliptic functions periodic wave solution solitary wave solution |
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