| Baecklund Transformations for the Initial Problems of Nizhnich and Nizhnich－Novikov－Veselov Equations |
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| 引用本文： | SUHong-Ling WANGMing-Liang QINMeng-Zhao. Baecklund Transformations for the Initial Problems of Nizhnich and Nizhnich－Novikov－Veselov Equations[J]. 理论物理通讯, 2003, 40(1): 15-18 |
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| 作者姓名： | SUHong-Ling WANGMing-Liang QINMeng-Zhao |
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| 作者单位： | [1]StateKeyLaboratoryofScientificandEngineeringComputing.InstituteofComputationalMathematicsandScientific [2]MathematicalDepartment~LuoyangInstituteofTechnology,Luoyang471039,China [3]EngineeringComputing,AcademyofMathematicsandSystemScience,theChineseAcademyofSciences,Beijing100080,China |
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| 摘 要： | The homogeneous balance method is a method for solving genera/partial differential equations (PDEs). In this paper we solve a kind of initial problems of the PDEs by using the special Baecklund transformations of the initial problem. The basic Fourier transformation method and some variable-separation skill are used as auxiliaries. Two initial problems of Nizlmich and the Nizlanich-Novikov-Veselov equations are solved by using this approach.
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| 关 键 词： | Baecklund变换 初值问题 Nizhnich方程 Nizhnich－Novikov－Veselov方程 非线性偏微分方程 齐次平衡方法 |
| 收稿时间： | 2002-10-08 |
Bäcklund Transformations for the Initial Problems of Nizhnich and Nizhnich-Novikov-Veselov Equations |
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| SU Hong-Ling,WANG Ming-Liang,QIN Meng-Zhao. Bäcklund Transformations for the Initial Problems of Nizhnich and Nizhnich-Novikov-Veselov Equations[J]. Communications in Theoretical Physics, 2003, 40(1): 15-18 |
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| Authors: | SU Hong-Ling WANG Ming-Liang QIN Meng-Zhao |
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| Affiliation: | 1. State Key Laboratory of Scientific and Engineering Computing,Institute of Computational Mathematics and Scientific/EngineeringComputing, Academy of Mathematics and System Science, the Chinese Academy of Sciences, Beijing 100080, China;2. Mathematical Department, Luoyang Instituteof Technology, Luoyang 471039, China |
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| Abstract: | The homogeneous balance method is a method for solving general partial differential equations (PDEs). In this paper we solve a kind of initial problems of the PDEs by using the special Bäcklund transformations of the initial problem. The basic Fourier transformation method and some variable-separation skill are used as auxiliaries. Two initial problems of Nizhnich and the Nizhnich-Novikov-Veselov equations are solvedby using this approach. |
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| Keywords: | Bäcklund transformation initial problem Nizhnick equation Nizhnich-Novikov-Veselov equation homogeneous balance method |
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