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Wronskian determinant solutions of the (3 + 1)-dimensional Jimbo-Miwa equation |
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| Authors: | Yaning Tang Wen-Xiu MaLiang Gao |
| Affiliation: | a Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an, Shaanxi 710072, PR China b Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620-5700, USA c Science Research Institute of China-North Group Company, Beijing 100089, PR China |
| Abstract: | A set of sufficient conditions consisting of systems of linear partial differential equations is obtained which guarantees that the Wronskian determinant solves the (3 + 1)-dimensional Jimbo-Miwa equation in the bilinear form. Upon solving the linear conditions, the resulting Wronskian formulations bring solution formulas, which can yield rational solutions, solitons, negatons, positons and interaction solutions. |
| Keywords: | (3 + 1)-dimensional Jimbo-Miwa equation Wronskian form Rational solutions Negatons Positons |
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