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 Kor...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.展开更多
基金Supported by the National Natural Science Foundation of China under Grant No 11201290.
文摘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.