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中文摘要：
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.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,给出了非线性LC电路方程的精确幂级数解。
英文摘要：
Lie symmetry analysis,G＇/G-expansion and power series methods are performed for nonlinear LC circuit equation.The symmetries for the equation are given by Lie symmetry analysis.Combining Lie symmetry analysis,homogeneous balance principle and G＇/G-expansion method,all of the G＇ /G solutions to the nonlinear LC circuit equation are obtained.Exact power series solutions of the nonlinear LC circuit equation are provided.
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