| 广义Boussinesq方程的无穷序列新精确解 |
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| 引用本文： | 套格图桑,斯仁道尔吉.广义Boussinesq方程的无穷序列新精确解[J].物理学报,2010,59(7):4413-4419. |
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| 作者姓名： | 套格图桑 斯仁道尔吉 |
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| 作者单位： | 内蒙古师范大学数学科学学院,呼和浩特,010022 |
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| 基金项目： | 国家自然科学基金(批准号:10461006)、内蒙古自治区高等学校科学研究基金(批准号:NJZZ07031)、 内蒙古自治区自然科学基金(批准号:200408020103)和内蒙古师范大学自然科学研究计划(批准号:QN005023)资助的课题. |
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| 摘 要： | 以辅助方程法为基础,给出第二种椭圆方程解的非线性叠加公式,借助符号计算系统Mathematica获得了广义Boussinesq方程的无穷序列新精确解.这里包括无穷序列Jacobi椭圆函数精确解、无穷序列孤立波解和无穷序列三角函数解.该方法在构造非线性发展方程无穷序列精确解方面具有普遍意义.
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| 关 键 词： | 非线性叠加公式 辅助方程法 Jacobi椭圆函数 无穷序列精确解 |
| 收稿时间： | 2009-09-22 |
New exact infinite sequence solutions to generalized Boussinesq equation |
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| Taogetusang,Sirendaoerji.New exact infinite sequence solutions to generalized Boussinesq equation[J].Acta Physica Sinica,2010,59(7):4413-4419. |
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| Authors: | Taogetusang Sirendaoerji |
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| Institution: | College of Mathematical Science, Inner Mongolia Normal University, Huhhot 010022, China;College of Mathematical Science, Inner Mongolia Normal University, Huhhot 010022, China |
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| Abstract: | Based on the auxiliary equation method, the nonlinear superposition formula for the solutions of the second kind of elliptic equation is proposed. It is also used to construct the infinite sequence of new exact solutions to the generalized Boussinesq equation with the aid of symbolic computation system Mathematica. The infinite sequences of exact solutions include the Jacobi elliptic function infinite sequence solutions, the solitary wave infinite sequence solutions and the triangular function infinite sequence solutions. And the method is of significance to seek infinite sequence exact solutions to other nonlinear evolution equations. |
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| Keywords: | nonlinear superposition formula auxiliary equation method Jacobi elliptic function infinite sequence exact solution |
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