Duffing方程的首次积分法求解

吉林大学学报(理学版)

Duffing方程的首次积分法求解

孟品超, 尹伟石

长春理工大学理学院, 长春 130022

收稿日期:2015-05-11 出版日期:2015-11-26 发布日期:2015-11-23
通讯作者: 尹伟石 E-mail:yinweishi@foxmail.com

Solutions for Duffing Equations by First Integral Method

MENG Pinchao, YIN Weishi

College of Science, Changchun University of Science and Technology, Changchun 130022, China

Received:2015-05-11 Online:2015-11-26 Published:2015-11-23
Contact: YIN Weishi E-mail:yinweishi@foxmail.com

摘要/Abstract

摘要：

应用首次积分法, 提出一种求解非线性波动方程的分析方法, 并在理论上得到一类Duffing方程精确形式的行波解. 结果表明, 首次积分法对于求Duffing方程的精确解是一种可行方法.

关键词: 首次积分法, Duffing方程, 符号计算

Abstract:

We proposed an analytic method for solving a class of nonlinear wave equations based on the first integral method, and obtained the exact traveling wave solution for one category of Duffing equations theoretically. Results show that the first integral method for the exact solution of Duffing equations is a feasible method.

Key words: first integral method, Duffing equation, symbolic computation

中图分类号:

O175.14

孟品超, 尹伟石. Duffing方程的首次积分法求解[J]. 吉林大学学报(理学版), 2015, 53(06): 1186-1188.

MENG Pinchao, YIN Weishi. Solutions for Duffing Equations by First Integral Method[J]. Journal of Jilin University Science Edition, 2015, 53(06): 1186-1188.

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