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New Variable Separation Solutions for Two Nonlinear Evolution Equations in Higher Dimensions |
| XU Gui-Qiong1**, HUANG Xing-Zhong2 |
1Department of Information Management, College of Management, Shanghai University, Shanghai 200444
2Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444 |
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XU Gui-Qiong, HUANG Xing-Zhong 2013 Chin. Phys. Lett. 30 030202 |
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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.
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Received: 08 August 2012
Published: 29 March 2013
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