| 几种辅助方程与非线性发展方程的无穷序列精确解 |
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| 引用本文： | 套格图桑.几种辅助方程与非线性发展方程的无穷序列精确解[J].物理学报,2011,60(5):50201-050201. |
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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： | 国家自然科学基金资助(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:2010MS0111)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： | 本文为了获得非线性发展方程新的无穷序列精确解,给出了几种辅助方程的Böcklund变换和解的非线性叠加公式,并构造了一些非线性发展方程新的无穷序列精确解,其中包括无穷序列Jacobi椭圆函数解、无穷序列双曲函数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.
关键词：
辅助方程法
解的非线性叠加公式
无穷序列解
非线性发展方程
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| 关 键 词： | 辅助方程法 解的非线性叠加公式 无穷序列解 非线性发展方程 |
| 收稿时间： | 2010-06-21 |
| 修稿时间： | 8/9/2010 12:00:00 AM |
Several auxiliary equations and infinite sequence exact solutions to nonlinear evolution equations |
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| Taogetusang.Several auxiliary equations and infinite sequence exact solutions to nonlinear evolution equations[J].Acta Physica Sinica,2011,60(5):50201-050201. |
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| Authors: | Taogetusang |
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| Institution: | The College of Mathematical Science, Inner Mongolia Normal University, Huhhot 010022, China |
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| Abstract: | To seek infinite sequence exact solutions of nonlinear evolution equations, the Böcklund transformation of the solutions to some auxiliary equations and the formula of nonlinear superimposition of solutions are presented for constructing infinite sequence exact solutions to nonlinear evolution equations, which include infinite sequence Jacobi elliptic function solutions, infinite sequence hyperbolic function solutions and infinite sequence trigonomical function solutions. The method is of significance to the search into infinite sequence exact solutions of other nonlinear evolution equations. |
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| Keywords: | auxiliary equation method formula of nonlinear superposition of solution infinite sequence solution nonlinear evolution equation |
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