摘要
提出了寻求非线性发展方程行波解新的辅助方程法,作为实例通过选取变系数Bernoulli方程作为辅助常微分方程,并借助于计算机系统Mathematica和齐次平衡原则,求解了一类非线性发展方程,得到了该方程的新的显式精确解.所用方法可应用到其它类似方程的求解.
A new auxiliaxy equation method for seeking traveling wave solutions to nonlinear evolution equations was proposed. As an example the Bernoulli equation with variable coef- ficient is chosen as auxiliary ordinary differential equation, with the help of computer system Mathematica and homogeneous balance principle, some new explicit exact solutions for a class of nonlinear evolution equations were obtained. The method used here could be applied to solve other similar equations.
出处
《数学的实践与认识》
CSCD
北大核心
2013年第9期201-207,共7页
Mathematics in Practice and Theory
基金
国家自然科学基金(11101145)
河南省科技厅自然科学基金(102102210216)
关键词
变系数
辅助方程法
齐次平衡原则
行波解
variable coefficient
auxiliary equation method
homogeneous balance principle
traveling wave solution
