| STUDY ON EXACT ANALYTICAL SOLUTIONS FOR TWO SYSTEMS OF NONLINEAR EVOLUTION EQUATIONS |
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| 作者姓名： | 闫振亚 张鸿庆 |
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| 作者单位： | YAN Zhen_ya，ZHANG Hong_qing (Department of Applied Mathematics，Dalian University of Technology，Dalian 116024，P R China) (Paper from ZHANG Hong_qing，Member of Editorial Committee，AMM) |
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| 基金项目： | theNationalKeyBasicResearchProjectFoundationofChina (G1 9980 3 0 6 0 0 )，DoctoralFoundationofEducationCommittee ( 980 1 4 1 1 9) |
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| 摘 要： | ＩｎｔｒｏｄｕｃｔｉｏｎＤｕｒｉｎｇｔｈｅｃｏｕｒｓｅｏｆｓｔｕｄｙｉｎｇｔｈｅｗａｔｅｒｗａｖｅ,ｍａｎｙｃｏｍｐｌｅｔｅｌｙｉｎｔｅｇｒａｂｌｅｍｏｄｅｌｓｗｅｒｅｏｂｔａｉｎｅｄ ,ｓｕｃｈａｓＫｄＶｅｑｕａｔｉｏｎ ,ｍＫｄＶｅｑｕａｔｉｏｎ ,(2 1 )＿ｄｉｍｅｎｓｉｏｎａｌＫＰｅｑｕａｔｉｏｎ ,ｃｏｕｐｌｅｄＫｄＶｅｑｕａｔｉｏｎｓ,ｖａｒｉａｎｔＢｏｕｓｓｉｎｅｓｑｅｑｕａｔｉｏｎｓ ,ＷＫＢｅｑｕａｔｉｏｎｓｅｔｃ .1- 13 ].Ｉｎｏｒｄｅｒｔｏｆｉｎｄｅｘｐｌｉｔｉｃｅｘａｃｔｓｏｌｕｔｉｏ…
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| 收稿时间： | 7 April 2000 |
Study on Exact Analytical Solutions for Two Systems of Nonlinear Evolution Equations |
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| Zhen-ya Yan,Hong-qing Zhang.STUDY ON EXACT ANALYTICAL SOLUTIONS FOR TWO SYSTEMS OF NONLINEAR EVOLUTION EQUATIONS[J].Applied Mathematics and Mechanics(English Edition),2001,22(8):925-934. |
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| Authors: | Zhen-ya Yan Hong-qing Zhang |
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| Institution: | Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, P R China |
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| Abstract: | The homogeneous balance method was improved and applied to two systems of nonlinear evolution equations. As a result, several families of exact analytic solutions are derived by some new ansatzs. These solutions contain Wang's and Zhang's results and other new types of analytical solutions, such as rational fraction solutions and periodic solutions. The way can also be applied to solve more nonlinear partial differential equations. |
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| Keywords: | nonlinear evolution equations improved homogeneous balance method exact analytical solution solitary wave solution rational solution |
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