基于Maple系统的Riccati方程自动求解的实现

Implementation of Automatic Solution Method Based on Riccati Equation in Maple System

利用非线性演化方程的精确行波解的手工推导和计算的原理,结合计算机符号计算,在计算机代数系统Maple上,开发了基于非线性代数方程组吴文俊消元法的非线性演化方程精确行波解的自动求解软件包,实现了非线性方程(组)的求解过程的完全自动化。

Based on computerized symbolic computation and computer algebraic system,in combination with the theory of calculation and manual deducing of exact theory of wave solutions of nonlinear evolution equations,a software package based on nonlinear algebraic equations is developed to directly derive the traveling wave solutions to a nonlinear differential equation,an automatic process of solution is completely achieved in nonlinear evolution equations.