MRLW方程的三次B样条数值解  

Application of Cubic B-spline for Numerical Solutions of the MRLW Equation

作　　者：刘兴霞[1] 孙建安[2] 张利军[1] 

机构地区：[1]天水师范学院电子信息与电气工程学院,甘肃天水741001 [2]西北师范大学物理与电子工程学院,甘肃兰州730070

出　　处：《天水师范学院学报》2015年第2期26-32,共7页Journal of Tianshui Normal University

摘　　要：构造了求解修正正则长波(MRLW)方程的三次B样条配置法.通过解析解和守恒量来检验该方法的精度.数值模拟了单孤立波的传播、双孤立波之间、三孤立波之间的相互作用以及Maxwellian脉冲随时间分裂为多个孤立波的情况.数值结果表明本文构造的数值格式具有长时间的数值模拟能力,能够模拟多种孤立波,比文献[19,20]的数值格式更好地满足了MRLW方程的守恒律.Cubic B-spline functions have been used to develop a collocation method to solve the modified regular- ized lone wave （MRLW） equation. The analytic solutions and conserved quantities are used to assess the accuracy of the method. Moreover, interaction of two and three solitary waves are studied through computer simulation and the development of the Maxwellian initial condition into solitary waves is also shown. The numerical examples have shown that the method are capable of simulating the original problems in a long time and can simulate various soli- tary waves.

关 键 词：数值模拟 MRLW方程 孤立波 配置法 

分 类 号：O242.21[理学—计算数学] O241.82[理学—数学]