非线性LC电路方程的多种新解

J4 ›› 2015, Vol. 32 ›› Issue (1): 30-39.

非线性LC电路方程的多种新解

套格图桑,伊丽娜

内蒙古师范大学数学科学学院，内蒙古呼和浩特 010022

收稿日期:2014-02-28 修回日期:2014-04-14 出版日期:2015-01-28 发布日期:2015-02-04
通讯作者: 套格图桑（1963-）博士,教授,研究方向为孤立子与可积系统理论及其应用 E-mail:tgts@imnu.edu.cn
基金资助:
国家自然科学基金资助项目(11361040)和内蒙古自治区高等学校科学研究基金(批准号:NJZY12031)资助的课题

Many New Solutions of Nonlinear LC Circuit Equation

Taogetusang Yi Lina

College of Mathematical Science, Inner Mongolia Normal University, Huhhot 010022

Received:2014-02-28 Revised:2014-04-14 Published:2015-01-28 Online:2015-02-04

摘要/Abstract

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Riemann theta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.

关键词: 第二种椭圆方程, 符号计算系统, 非线性LC电路方程, 无穷序列新解

Abstract: According to the second kind of elliptic equation, many new infinite sequence solutions of nonlinear LC circuit equation are 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.

Key words: the second kind of elliptic equation, symbolic computation system, nonlinear LC circuit equation, new infinite sequence solution

套格图桑伊丽娜. 非线性LC电路方程的多种新解[J]. J4, 2015, 32(1): 30-39.

Taogetusang Yi Lina. Many New Solutions of Nonlinear LC Circuit Equation[J]. J4, 2015, 32(1): 30-39.

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