节点文献
一个流体力学中浅水波方程的精确解
Exact solutions to a shallow water equation in fluid mechanics
【摘要】 利用试探方程法,将流体力学浅水波方程约化成积分形式,得到丰富的精确行波解.该行波解中包括有理函数解、孤波解、三角函数周期解、椭圆函数双周期解,可为解释相关的物理现象提供依据.
【Abstract】 Using trial equation method,we reduced a shallow water equation to the elementary integral forms,and obtained their abundant exact traveling wave solutions,which included rational function solution,solitary wave solutions,triangle function periodic solutions and Jacobian elliptic function periodic solutions.
【关键词】 试探方程法;
高阶KdV方程;
孤波解;
周期解;
【Key words】 trial equation method; high order KdV equation; solitary wave solution; periodic solution;
【Key words】 trial equation method; high order KdV equation; solitary wave solution; periodic solution;
- 【文献出处】 大庆石油学院学报 ,Journal of Daqing Petroleum Institute , 编辑部邮箱 ,2007年04期
- 【分类号】O351
- 【下载频次】198