| Wronskian and Grammian solutions for the （3＋ 1）-dimensional Jimbo-Miwa equation |
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| 引用本文： | 苏朋朋,唐亚宁,陈妍呐.Wronskian and Grammian solutions for the （3＋ 1）-dimensional Jimbo-Miwa equation[J].中国物理 B,2012(12):153-160. |
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| 作者姓名： | 苏朋朋 唐亚宁 陈妍呐 |
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| 作者单位： | Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710129, China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China （Grant Nos. 11202161 and 11172233） and the Basic Research Fund of the Northwestern Polytechnical University, China （Grant No. GBKY1034）. |
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| 摘 要： | <正>In this paper,based on Hirota’s bilinear method,the Wronskian and Grammian techniques,as well as several properties of the determinant,a broad set of sufficient conditions consisting of systems of linear partial differential equations are presented.They guarantee that the Wronskian determinant and the Grammian determinant solve the (3 + 1)-dimensional Jimbo-Miwa equation in the bilinear form.Then some special exact Wronskian and Grammian solutions are obtained by solving the differential conditions.At last,with the aid of Maple,some of these special exact solutions are shown graphically.
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| 关 键 词： | (3+1)-dimensional Jimbo-Miwa equation Wronskian determinant Grammian determinant exact solution |
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