RLW方程双孤立子碰撞的数值计算

On Numerical Calculation of Two Solitary Waves Solutions with RLW Equation

给出数值分析RLW方程的三次样条差分方法 ,得到对时间四阶精度、空间二阶精度的三点三层隐式格式 .并对单孤立子的行进演化以及双孤立子的追赶、迎头碰撞演化进行数值实验 ,数值计算结果表明 ,碰撞是弹性的 .尽管将波形放大以后会出现振荡尾波 ,但这并非是真实的物理现象 ,而是数值计算精度所致 。

The numerical scheme of the cubic spline difference approximations for the regularized long-wave(RLW)equation is described with second-order and fourth-order accuracies for the time and spacing variables respectively.The interaction of head-on or catch up collision of two solitary wave solutions of the RLW equation examined numerically.The numerical results show that the waveforms do not change as the error less than O(10 -3 )is omitted.And the elastic effect of a collision of solitary waves exhibit tru...