| The periodic wave solutions for the generalized Nizhnik－Novikov－Veselov equation |
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| 引用本文： | 张金良,任东锋,王明亮,王跃明,方宗德.The periodic wave solutions for the generalized Nizhnik－Novikov－Veselov equation[J].中国物理 B,2003,12(8):825-830. |
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| 作者姓名： | 张金良 任东锋 王明亮 王跃明 方宗德 |
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| 作者单位： | School of Mechanical and Electronic Engineering, Northwestern Polytechnic University, Xi'an 710072, China;School of Mechanical and Electronic Engineering, Northwestern Polytechnic University, Xi'an 710072, China;Department of Mathematics and Physics, Henan University of Science and Technology, Luoyang 471039, China; Department of Mathematics, Lanzhou University, Lanzhou 730000, China;Department of Mathematics and Physics, Henan University of Science and Technology, Luoyang 471039, China;School of Mechanical and Electronic Engineering, Northwestern Polytechnic University, Xi'an 710072, China |
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| 基金项目： | Project supported by the Natural Science Foundation of Henan Province, China (Grant No 0111050200) and the Natural Science Foundation of Education Committee of Henan Province, China (Grant No 2000110008). |
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| 摘 要： | The periodic wave solutions expressed by Jacobi elliptic functions for the generalized Nizhnik－Novikov－Veselov equation are obtained using the F-expansion method proposed recently. In the limiting cases, the solitary wave solutions and other types of travelling wave solutions for the system are obtained.
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| 关 键 词： | generalized Nizhnik－Novikov－Veselov equation F-expansion method Jacobi elliptic functions periodic wave solutions solitary wave solutions |
| 收稿时间： | 2002-12-21 |
The periodic wave solutions for the generalized Nizhnik－Novikov－Veselov equation |
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| Zhang Jin-Liang,Ren Dong-Feng,Wang Ming-Liang,Wang Yue-Ming and Fang Zong-De.The periodic wave solutions for the generalized Nizhnik－Novikov－Veselov equation[J].Chinese Physics B,2003,12(8):825-830. |
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| Authors: | Zhang Jin-Liang Ren Dong-Feng Wang Ming-Liang Wang Yue-Ming and Fang Zong-De |
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| Institution: | Department of Mathematics and Physics, Henan University of Science and Technology, Luoyang 471039, China; Department of Mathematics and Physics, Henan University of Science and Technology, Luoyang 471039, China; Department of Mathematics, Lanzhou University, Lanzhou 730000, China; School of Mechanical and Electronic Engineering, Northwestern Polytechnic University, Xi'an 710072, China |
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| Abstract: | The periodic wave solutions expressed by Jacobi elliptic functions for the generalized Nizhnik－Novikov－Veselov equation are obtained using the F-expansion method proposed recently. In the limiting cases, the solitary wave solutions and other types of travelling wave solutions for the system are obtained. |
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| Keywords: | generalized Nizhnik－Novikov－Veselov equation F-expansion method Jacobi elliptic functions periodic wave solutions solitary wave solutions |
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