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Grammian Determinant Solution and Pfaffianization for a (3+1)-Dimensional Soliton Equation |
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| Authors: | WU Jian-Ping and GENG Xian-Guo |
| Institution: | 1.Institute of Electronic Technology, Information Engineering University, Zhengzhou 450004, China ;2.Department of Mathematics, Zhengzhou University, Zhengzhou 450052, China |
| Abstract: | Based on the Pfaffian derivative formulae, a Grammian determinant solution for a (3+1)-dimensional soliton equation is obtained. Moreover, the Pfaffianization procedure is applied for the equation to generate a new coupled system. At last, a Gram-type Pfaffian solution to the new coupled system is given. |
| Keywords: | (3+1)-dimensional soliton equation Grammian determinant solution Pfaffianization Gram-type Pfaffian solution |
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