基于双曲正切与双曲正割函数展开方法构造修正Kawachara方程解  

Construction of solutions for modified Kawachara Equation based on hyperbolic tangent function and hyperbolic secant function expansion method

作　　者：张荣荣 庞晶[1,2] ZHANG Rongrong;PANG Jing(College of Sciences,Inner Mongolia University of Technology,Hohhot 010051,China;Inner Mongolia Key Laboratory of Statistical Analysis Theory for Life Data and Neural Network Modeling,Inner Mongolia University of Technology Hohhot,China)

机构地区：[1]内蒙古工业大学理学院,呼和浩特010051 [2]内蒙古自治区生命数据统计分析理论与神经网络建模重点实验室,呼和浩特010051

出　　处：《内蒙古工业大学学报（自然科学版）》2021年第6期401-407,共7页Journal of Inner Mongolia University of Technology：Natural Science Edition

基　　金：国家自然科学基金项目(10561151)。

摘　　要：通过双曲正切与双曲正割函数展开方法构造修正Kawachara方程的解,将解回代到修正Kawachara方程,令sech^(i)(ξ)和tanh(ξ)sech^(i)(ξ)项的系数为零,得到非线性代数方程组,借助Mathematica求解非线性代数方程组,获得修正Kawachara方程的双曲函数解,极大丰富了其解系.In this paper,the solutions of the modified Kawachara equation are constructed by the expansion of the hyperbolic tangent function and hyperbolic secant function.Then,by substituting the solutions back to the modified Kawachara equation,and setting the coefficients of and to zero,the nonlinear algebraic equations are obtained.Using the symbolic computing software Mathematic to solve the nonlinear algebraic equations,the hyperbolic function solutions of the modified Kawachara equation are obtained,which greatly enrich the solution system.

关 键 词：双曲正切与双曲正割函数展开方法 修正Kawachara方程 双曲函数解 

分 类 号：O175.2[理学—数学]