内蒙古大学学报（自然科学版）
內矇古大學學報（自然科學版）
내몽고대학학보（자연과학판）
ACTA SCIENTIARUM NATURALIUM UNIVERSITATIS NEIMONGOL
2010年
3期
248-255
,共8页
同伦摄动方法%广义正则长波方程%Drinefel'd-Sokolov-Wilson方程组%行波解%数值模拟
同倫攝動方法%廣義正則長波方程%Drinefel'd-Sokolov-Wilson方程組%行波解%數值模擬
동륜섭동방법%엄의정칙장파방정%Drinefel'd-Sokolov-Wilson방정조%행파해%수치모의
Homotopy perturbation method%generalized regularized long wave equation%Drinefel'd-Sokolov-Wilson equation%travelling wave solution%numerical simulation
利用何的同伦摄动方法求解两个非线性发展方程-广义正则长波方程和Drinefel'd-Sokolov-Wilson方程.把由同伦摄动法模拟出的数值行波解与其对应精确解相比较,揭示得到的数值行波解是高精度的.该方法直接、简练,而且适用于数学物理中的其它非线性发展方程.
利用何的同倫攝動方法求解兩箇非線性髮展方程-廣義正則長波方程和Drinefel'd-Sokolov-Wilson方程.把由同倫攝動法模擬齣的數值行波解與其對應精確解相比較,揭示得到的數值行波解是高精度的.該方法直接、簡練,而且適用于數學物理中的其它非線性髮展方程.
이용하적동륜섭동방법구해량개비선성발전방정-엄의정칙장파방정화Drinefel'd-Sokolov-Wilson방정.파유동륜섭동법모의출적수치행파해여기대응정학해상비교,게시득도적수치행파해시고정도적.해방법직접、간련,이차괄용우수학물리중적기타비선성발전방정.
He's homotopy perturbation method is used to solve two kinds of nonlinear evolution equations,the generalized regularized long wave equation and Drinefel'd-Sokolov-Wilson equations.Numerical travelling wave solutions simulated by the homotopy perturbation method are compared with the exact solutions,revealing that the obtained solutions are of high accuracy.The method is straightforward and concise,and can also be applied to other nonlinear evolution equations in mathematical physics.
