| Wronskian Solutions of Two Equations and Young Diagram Proof |
| Received:November 13, 2012 Revised:June 30, 2014 |
| Key Words:
Wronskian determinant solution Young diagram Pl\"{u}cker relations.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.51109031; 51379033; 50921001; J1103110; 11201048), Programs Foundation of Ministry of Education of China (Grant No.20100041120037), the Fundamental Research Funds for the Central Universities (Grant Nos.DUT12LK34; DUT12LK52) and the State Key Development Program for Basic Research of China (Grant Nos.2013CB036101; 2010CB32700). |
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| Abstract: |
| 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. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2014.05.007 |
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