| Volterra差分微分方程和KdV差分微分方程新的精确解 |
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| 引用本文： | 套格图桑,斯仁道尔吉. Volterra差分微分方程和KdV差分微分方程新的精确解[J]. 物理学报, 2009, 58(9): 5887-5893 |
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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： | (1); (2)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： | 辅助方程法和试探函数法为基础，给出函数变换与辅助方程相结合的一种方法，借助符号计算系统Mathematica构造了Volterra差分微分方程和KdV差分微分方程新的精确孤立波解和三角函数解.该方法也适合求解其他非线性差分微分方程的精确解.关键词：辅助方程函数变换非线性差分微分方程孤立波解
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| 关 键 词： | 辅助方程 函数变换 非线性差分微分方程 孤立波解 |
| 收稿时间： | 2008-07-11 |
The new exact solutions of Volterra difference-differential equation and KdV difference-differential equation |
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| Taogetusang,Sirendaoerji. The new exact solutions of Volterra difference-differential equation and KdV difference-differential equation[J]. Acta Physica Sinica, 2009, 58(9): 5887-5893 |
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| Authors: | Taogetusang Sirendaoerji |
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| Abstract: | Based on the auxiliary equation method and the trial function method, a method for combining function transformation with auxiliary equation is proposed. And the method is applied to construct new exact solitary wave solutions and triangle function solutions of Volterra and KdV difference-differential equations with the help of symbolic computation system Mathematica. Our method can also be applied to other nonlinear difference-differential equations. |
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| Keywords: | auxiliary equation function transformation nonlinear difference-differential equation solitary wave solution |
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