J4 ›› 2016, Vol. 33 ›› Issue (3): 279-286.

• 量子物理 • 上一篇    下一篇

Lie symmetry analysis and exact solutions for nonlinear LC circuit equation

李凯辉,刘汉泽   

  1. 聊城大学数学科学学院, 山东 聊城 252059
  • 收稿日期:2016-01-04 修回日期:2016-01-24 出版日期:2016-05-28 发布日期:2016-05-27

Lie symmetry analysis and exact solutions for nonlinear LC circuit equation

  • Received:2016-01-04 Revised:2016-01-24 Published:2016-05-28 Online:2016-05-27

摘要: 应用李群分析方法、(G'/G )-展开法和幂级数法求解非线性LC电路方程. 通过李 群分析求得了方程的对称. 并且结合李群分析方法、齐次平衡方法和(G'/G )-展开法求得了非线性LC电 路方程的全部(G'/G ) 解. 最后, 又给出了非线性LC电路方程的精确幂级数解.

关键词: Exact solutions

Abstract: In this paper, the Lie symmetry analysis, (G'/G )-expansion method and power series method are performed for nonlinear LC circuit equation. The symmetries for this equation are given. By using the combination of Lie symmetry analysis and homogeneous balance principle, (G'/G )-expansion method, all of the (G'/G ) solutions to the nonlinear LC circuit equation are obtained. Then, exact power series solutions of the nonlinear LC circuit equation are provided.

Key words: Exact solutions

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