中文摘要：

利用第二种椭圆方程和符号计算系统Mathematica，构造了非线性LC电路方程的多种无穷序列新解。这里包括由Riemanntheta函数、Jacobi椭圆函数、双曲函数、三角函数组成的无穷序列光滑形式新解、指数函数和三角函数组成的无穷序列尖峰孤立子新解、Jacobi椭圆函数和三角函数组成的紧孤立子新解。

英文摘要：

According to the second kind of elliptic equation, many new infinite sequence solutions of non- linear LC circuit equation were constructed with the help of symbolic computation system Mathematica, which include new infinite sequence smooth solutions composed of Riemann theta function, Jacobi elliptic function, hyperbolic function and triangular function, new infinite sequence peak soliton solutions composed of exponential function and triangular function, new compact solutions composed of Jacobi elliptic function and triangular function