摘要
本文在已有的辅助微分方程和G'/G-展开法的基础上构造新的双辅助微分方程展开法,并利用双辅助微分方程展开法求解了色散水波方程的新的精确解:双曲函数形式解、有理函数形式解、三角函数形式解、双曲函数与三角函数混合形式解、三角函数与有理函数混合形式解,该方法也可应用于求解其他非线性方程。
Based on the existing auxiliary differential equations and G'/G-expansion method, this paper con-structs a new double auxiliary differential equation expansion method, and uses the double auxil-iary differential equation expansion method to solve new exact solutions of dispersive water wave equations: hyperbolic function formal solution, rational function formal solution, trigonometric function formal solution, hyperbolic function and trigonometric function mixed form solution, trigonometric function and rational function mixed form solution. The method can also be applied to solve other nonlinear equations.
出处
《应用数学进展》
2020年第3期366-371,共6页
Advances in Applied Mathematics
