In this paper, we obtain the linear differential conditions of (3 + 1)-dimensional Jimbo-Miwa equation and Boiti-Leon-Manna-Pempinelli equation, which guarantee that the corresponding Wronskian determinant solves t...In this paper, we obtain the linear differential conditions of (3 + 1)-dimensional Jimbo-Miwa equation and Boiti-Leon-Manna-Pempinelli equation, which guarantee that the corresponding Wronskian determinant solves the two equations in the Hirota bilinear form. By using the properties of Young diagram, we have proved the results.展开更多
基金the National Natural Science Foundation of China(Grant Nos.5110903151379033+7 种基金50921001J110311011201048)Programs Foundation of Ministry of Education of China(Grant No.20100041120037)the Fundamental Research Funds for the Central Universities(Grant Nos.DUT12LK34DUT12LK52)the StateKey Development Program for Basic Research of China(Grant Nos.2013CB0361012010CB32700)
文摘In this paper, we obtain the linear differential conditions of (3 + 1)-dimensional Jimbo-Miwa equation and Boiti-Leon-Manna-Pempinelli equation, which guarantee that the corresponding Wronskian determinant solves the two equations in the Hirota bilinear form. By using the properties of Young diagram, we have proved the results.