计算机技术与发展2019，Vol.29Issue(2)：101-105,5.DOI:10.3969/j.issn.1673-629X.2019.02.021
非线性偏微分方程的精确行波解
Exact Traveling Wave Solutions of Nonlinear Partial Differential Equations
摘要
Abstract
Computer science is a discipline that studying theoretical basis of information and computation and how they are implemented and applied in computer systems.Non-linear science studies the commonness of nonlinear problems in nature.After the emergence of computer algebra system, people began to use the computer for symbol calculation and automatic reasoning, and scientists study of nonlinear problems has also been closely related to the development of computer science.In mathematics and physics, people are accustomed to using equations to describe the laws of motion of objective things.Nonlinear partial differential equation is a mathematical physical equation which can describe the nonlinear evolution process of objective things.However, there is almost no general solutions to solve such equations in mathematics.In this paper, we use an auxiliary function method to solve the exact traveling wave solutions for the nonlinear Benjamin-Bona-Mahonye equation.With the help of the symbolic computation system Maple, together with adjusting the value of parameter m in the auxiliary function method, then abundant travelling wave solutions of the BBM equation are obtained.We compare the numbers and the forms of the solutions under two cases.It shows that the modified auxiliary function method can help us to obtain more traveling wave solutions.关键词
计算机科学/计算机代数系统/辅助函数法/Benjamin-Bona-Mahonye方程Key words
computer science/computer algebra system/auxiliary function method/Benjamin-Bona-Mahonye equation分类
信息技术与安全科学引用本文复制引用
王书敏,薛瑞梅,姚若侠..非线性偏微分方程的精确行波解[J].计算机技术与发展,2019,29(2):101-105,5.基金项目
国家自然科学基金(11471004) （11471004）
