摘要
研究一粘弹性力学半线性拟双曲型积分微分方程模型 ,将该积分微分方程转化为五阶偏微分方程 ,通过平衡最高阶导数项和最高次幂项的幂次数得到了方程的幂指数形式解 。
A class of semi linear quasi hyperbolic integral differential equations in visco elastic mechanics was studied.Firstly,transforming the equations to a five order partial differential equation,then the solutions in the form of power exponential functions were obtained by balancing the highest order derivative term with the highest order power term.finally,the coefficients of the solutions were determined by polynomial identity and two explicit traveling wave solutions of original equations were gained.
出处
《南京建筑工程学院学报》
2002年第3期19-22,共4页
Journal of Nanjing Architectural and Civil Engineering Institute(Natural Science)
关键词
拟双曲型
积分微分方程
行波解
半线性
精确解
semi linear
quasi hyperbolic
integral differential equations
exact solution
