| 求Boussinesq方程孤子解的新方法 |
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| 引用本文： | 张聚梅,王洪伦,黄利国.求Boussinesq方程孤子解的新方法[J].延边大学理工学报,2013,39(3):183-184. |
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| 作者姓名： | 张聚梅 王洪伦 黄利国 |
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| 作者单位： | 1. 滨州学院数学与信息科学系,山东滨州,256603
2. 滨州技术学院电子信息工程系,山东滨州,256603 |
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| 基金项目： | 滨州学院科研基金资助项目（BZXYL1207） |
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| 摘 要： | 探讨了利用双线性导数法求Boussinesq方程孤子解的新方法.首先通过非线性函数变换,给出4阶Boussinesq方程的双线性导数形式,然后利用待定系数法求出了方程的孤子解.此方法可用于研究一大类非线性发展方程.
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| 关 键 词： | Boussinesq方程 孤子解 双线性导数 |
A new method for the soliton solution of Boussinesq equation |
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| ZHANG Jumei
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WANG Honglun
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HUANG Liguo.A new method for the soliton solution of Boussinesq equation[J].Journal of Yanbian University (Natural Science),2013,39(3):183-184. |
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| Authors: | ZHANG Jumei WANG Honglun HUANG Liguo |
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| Affiliation: | 1. Department of Mathematics and Information Science, Binzhou University, Binzhou 256603, China ; 2. Department of Electronic Information Engineering, Binzhou Technical College, Binzhou 256603, China ) |
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| Abstract: | We consider to solve soliton solution of Boussinesq equation by using bilinear derivative method. Fristly, the four-ordered bilinear derivative form of Boussinesq equation is given by a nonlinear function trans- formation. Then, the soliton solution of the Boussinesq equation is given using method of undetermined coefficients and the truncated technique. The method can be generalized to the study of a class of nonlinear evolution equations. |
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| Keywords: | Boussinesq equation soliton solution bilinear derivative |
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