G^(k+1)/G^(k)展开法在非线性LC电路方程中的应用  

Application of G^(k+1)/G^(k)-expansion Method for Solving the Nonlinear LC Circuit Equation

作　　者：张风云[1] 陈祥平[1] ZHANG Feng-yun CHEN Xiang-ping(Department of Mathematies,Jining University,273155,Qufu,Shandong,PRC)

机构地区：[1]济宁学院数学系,山东省济宁市273155

出　　处：《曲阜师范大学学报（自然科学版）》2017年第3期31-34,共4页Journal of Qufu Normal University(Natural Science)

基　　金：山东省自然科学基金(ZR2013AL005)

摘　　要：应用G^(k+1)/G^(k)展开法求解非线性LC电路方程,得到该方程的类型丰富的显式精确行波解,包括有双曲函数有理分式、有理函数分式,三角函数有理分式;并且给出了复形式的三角函数分式解.In this paper,G（k＋1）/G（k）-expansion method is used for solving the uonlinear LC circuit equa- tion,and some form of explicit exact travelling wave solutions are constructed,including hyperbolic func- tion rational fraction type,rational function fraction type, triangle function rational fraction type.Simultane- ously, some particular solutions with complex form are given finally.

关 键 词：G(k+1)/G(k)展开法 非线性LC电路方程 显式精确行波解 

分 类 号：O175.2[理学—数学]