| Degasperis-Procesi 方程的无穷序列尖峰孤立波解 |
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| 引用本文： | 套格图桑.Degasperis-Procesi 方程的无穷序列尖峰孤立波解[J].物理学报,2011,60(7):70204-070204. |
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| 作者姓名： | 套格图桑 |
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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)和内蒙古自治区自然科学基金(批准号:2010MS0111)资助的课题. |
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| 摘 要： | 本文为了构造非线性发展方程的无穷序列尖峰精确解,给出了Riccati方程的Bäcklund 变换和解的非线性叠加公式,并借助符号计算系统Mathematica,用Degasperis-Procesi方程为应用实例,构造了无穷序列尖峰孤立波解和无穷序列尖峰周期解.
关键词：
Riccati方程
解的非线性叠加公式
尖峰孤立波解
Degasperis-Procesi 方程
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| 关 键 词： | Riccati方程 解的非线性叠加公式 尖峰孤立波解 Degasperis-Procesi 方程 |
| 收稿时间： | 2010-09-21 |
Infinite sequence peak solitary wave solutions ofDegasperis-Procesi equation |
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| Taogetusang.Infinite sequence peak solitary wave solutions ofDegasperis-Procesi equation[J].Acta Physica Sinica,2011,60(7):70204-070204. |
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| Authors: | Taogetusang |
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| Institution: | College of Mathematical Science, Inner Mongolia Normal University, Huhhot 010022, China |
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| Abstract: | In order to obtain infinite sequence exact solutions to the sine-Gordon-type equations, the auxiliary equations of triangular function type and hyperbolic function type, Bäcklund transformation and nonlinear superposition formula of the solutions are presented. And the method is used to construct new infinite sequence exact solutions to the sine-Gordon equation, mKdV-sine-Gordon equation, (n+1)- dimensional double sine-Gordon equation and the sinh-Gordon equation with the help of symbolic computation system Mathematica, which include infinite sequence triangular function solutions, the infinite sequence hyperbolic function solutions, infinite sequence Jacobi elliptic function solutions and infinite sequence computation solutions. |
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| Keywords: | sine-Gordon-type equations solution of nonlinear superposition formula auxiliary equation infinite sequence exact solution |
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