利用F-展开法结合指数函数法求解两类KdV方程研究
Research on Solving two Kinds of KdV Equations Using F-expansion Method Combined with Exponential Function Method
袁远1
作者信息
摘要
通过F-展开法结合指数函数法求解Hirota-Satsuma型耦合KdV方程组和耦合KdV方程组,借助于数学软件Maple得到这2个方程组的精确解,并给出部分解的波形图,包括孤立波解、三角函数周期解、爆破波解、扭子波解等.
Abstract
The F-expansion method combined with the exponential function method is used to solve the Hirota Satsuma type coupled KdV equation system and the coupled KdV equation system in this paper.With the help of mathematical software Maple,the exact solutions of these two equation systems are obtained,and partial decomposition waveform diagrams are provided,including solitary wave solutions,trigonometric function periodic solutions,blast wave solutions,torsion wave solutions,etc.
关键词
F-展开法/指数函数法/KdV方程组/精确解Key words
F-expansion method/Exponential function method/KdV equation system/Exact solution引用本文复制引用
出版年
2024
NETL
NSTL
万方数据