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New Variable Separation Solutions for Two Nonlinear Evolution Equations in Higher Dimensions

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【作者】 徐桂琼； 黄兴中；

【Author】 XU Gui-Qiong;HUANG Xing-Zhong;Department of Information Management,College of Management,Shanghai University;Department of Mathematics,College of Sciences,Shanghai University;

【机构】 Department of Information Management,College of Management,Shanghai University； Department of Mathematics,College of Sciences,Shanghai University；

【摘要】 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+l)-dimensional modified Korteweg-de Vries equation and the(3+l)-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.

【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+l)-dimensional modified Korteweg-de Vries equation and the(3+l)-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.

【基金】 Supported by the National Natural Science Foundation of China under Grant No 11201290
  • 【文献出处】 Chinese Physics Letters ,中国物理快报(英文版) , 编辑部邮箱 ,2013年03期
  • 【分类号】O175
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