| 广义（n＋1）维Boussinesq方程的新的周期解与计算机模拟图像 |
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| 引用本文： | 谢桂英,吴勇旗.广义（n＋1）维Boussinesq方程的新的周期解与计算机模拟图像[J].湛江师范学院学报,2009,30(3):25-29. |
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| 作者姓名： | 谢桂英 吴勇旗 |
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| 作者单位： | 1. 湛江师范学院,实验教学管理处,广东,湛江,524048
2. 湛江师范学院,数学与计算科学学院,广东,湛江,524048 |
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| 基金项目： | 湛江师范学院科研基金资助项目 |
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| 摘 要： | 利用Hirota方法及Riemanntheta函数得到了广义（n＋1）维Boussinesq方程的新的周期解，在极限情况下．该周期解退化为孤子解．另外，利用计算机技术和Mathematica绘制了解的三维曲面图．
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| 关 键 词： | Hirota方法 Riemann theta函数 广义（n＋1）维Boussinesq方程 周期解 |
New Periodic Wave Solution and Computer Graphics for the Generalized (n+1)-dimensional Boussinesq Equation |
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| XIE Gui-ying,WU Yong-qi.New Periodic Wave Solution and Computer Graphics for the Generalized (n+1)-dimensional Boussinesq Equation[J].Journal of Zhanjiang Normal College,2009,30(3):25-29. |
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| Authors: | XIE Gui-ying WU Yong-qi |
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| Institution: | 1. Department of Experiment Teaching Management, Zhanjiang Normal College, Zhanjiang, Guangdong 524048, China; 2. Mathematics and Computational Science School, Zhanjiang Normal College, Zhanjiang, Guangdong 524048, China) |
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| Abstract: | The new periodic wave solution to the generalized （ n ＋ 1）-dimensional Boussinesq equation is presented by using Hirota method and Riemann theat function, from which the soliton solution can be obtained in an appropriate limiting procedure. Additionally, the special three dimensional surface graph of this equation is simulated with the help of computer technic and Mathematiea. |
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| Keywords: | Hirota method Riemann theta function generalized （ n ＋ 1）-dimensional Boussinesq equation periodic solution |
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