| 两个方程的 Wronskian 解及 Young 图证明 |
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| 引用本文： | 成建军,梅建琴,王振,张鸿庆.两个方程的 Wronskian 解及 Young 图证明[J].数学研究及应用,2014,34(5):561-574. |
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| 作者姓名： | 成建军 梅建琴 王振 张鸿庆 |
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| 作者单位： | 大连理工大学数学科学学院, 辽宁 大连 116024;大连理工大学数学科学学院, 辽宁 大连 116024;大连理工大学数学科学学院, 辽宁 大连 116024;大连理工大学数学科学学院, 辽宁 大连 116024 |
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| 基金项目： | 国家自然科学基金(Grant Nos.51109031; 51379033; 50921001; J1103110;11201048),教育部博士点基金(Grant No.20100041120037),中央高校基本科研业务费(Grant No. DUT12LK34;DUT12LK52),国家重点基础研究发展规划资助课题(Grant Nos.2013CB036101;2010CB32700). |
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| 摘 要： | 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.
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| 关 键 词： | Wronski行列式 方程 证明 图表 双线性形式 线性微分 求解 杨图 |
| 收稿时间： | 2012/11/13 0:00:00 |
| 修稿时间： | 2014/6/30 0:00:00 |
Wronskian Solutions of Two Equations and Young Diagram Proof |
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| Jianjun CHENG,Jianqin MEI,Zhen WANG and Hongqing ZHANG.Wronskian Solutions of Two Equations and Young Diagram Proof[J].Journal of Mathematical Research with Applications,2014,34(5):561-574. |
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| Authors: | Jianjun CHENG Jianqin MEI Zhen WANG and Hongqing ZHANG |
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| Institution: | School of Mathematical Sciences. Dalian University of Technology, Liaoning 116024, P. R. China;School of Mathematical Sciences. Dalian University of Technology, Liaoning 116024, P. R. China;School of Mathematical Sciences. Dalian University of Technology, Liaoning 116024, P. R. China;School of Mathematical Sciences. Dalian University of Technology, Liaoning 116024, P. R. China |
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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. |
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| Keywords: | Wronskian determinant solution Young diagram Pl\"{u}cker relations |
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