非线性MDWW方程的对称约化和显式精确解

SYMMETRY REDUCTIONS AND EXPLICIT EXACT SOLUTIONS OF NONLINEAR MDWW EQUATIONS

摘要: 借助Ｍａｔｈｅｍａｔｉｃａ，采用直接约化法获得ＭＤＷＷ方程的３种对称约化．经过一系列变换，将ＭＤＷＷ方程约化为著名的１＋１维Ｂｕｒｇｅｒｓ方程，进而得到ＭＤＷＷ方程更多形式的约化和若干精确解，其中包括孤波解．

Abstract: First, with the help of Mathematica,three kinds of reductions of MDWW equations areobtained by using direct reduction method. Second,MDWW equations are reduced to Burgers Equations by a series of transformations. Therefore, morereductions and some exact solutions which includesoliton solution are obtained.