| (n+1)维双Sine-Gordon方程的新精确解 |
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| 引用本文： | 套格图桑,斯仁道尔吉.(n+1)维双Sine-Gordon方程的新精确解[J].物理学报,2010,59(8):5194-5201. |
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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:10761005),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),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： | 给出包含第一种椭圆方程的三角函数型辅助方程及其解的叠加公式.在一般函数变换下,借助符号计算系统Mathematica,构造了(n+1)维双sine-Gordon方程新的Jacobi椭圆函数精确解.这些解包括了行波变换下的Jacobi椭圆函数精确解、精确孤立波解和三角函数解.
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| 关 键 词： | 解的叠加公式 (n+1)维双sine-Gordon方程 三角函数型辅助方程 Jacobi椭圆函数 |
| 收稿时间： | 6/6/2009 12:00:00 AM |
New exact solutions to (n+1)-dimensional double sine-Gordon equation |
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| Taogetusang,Sirendaoerji.New exact solutions to (n+1)-dimensional double sine-Gordon equation[J].Acta Physica Sinica,2010,59(8):5194-5201. |
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| Authors: | Taogetusang Sirendaoerji |
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| Institution: | The College of Mathematical Science, Inner Mongolia Normal University,Huhhot 010022,China;The College of Mathematical Science, Inner Mongolia Normal University,Huhhot 010022,China |
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| Abstract: | The auxiliary equation of triangular function type including the first kind of elliptic equation and the formula of superposition of the solutions are given. Then based on general function transformation, new Jacobi elliptic exact solutions to (n+1)-dimensional double sine-Gordon equation are constructed with aid of symbolic computation system Mathematica. And the solutions include Jacobi elliptic function exact solutions, exact solitary wave solutions and triangular functions. |
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| Keywords: | the formula of superposition of solutions (n+1)-dimensional double sine-Gordon equation auxiliary equation of triangular type Jacobi elliptic function |
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