New Variable Separation Solutions for Two Nonlinear Evolution Equations in Higher Dimensions
XU Gui-Qiong1** , HUANG Xing-Zhong2
1 Department of Information Management, College of Management, Shanghai University, Shanghai 2004442 Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444
Abstract ：Based on the multi-linear variable separation approach, a new direct variable separation algorithm is proposed. The effectiveness of the algorithm is demonstrated by the applications of the (2+1)-dimensional modified Korteweg-de Vries equation and the (3+1)-dimensional BKP equation. The new variable separation solutions which include at least one arbitrary function are derived for these two equations with the aid of Maple.
收稿日期: 2012-08-08
出版日期: 2013-03-29
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2013, Vol. 30 
