On the -dimensional Gardner equation: Determinant solutions and pfaffianization |
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| Authors: | Guo-Fu Yu Hon-Wah Tam |
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| Affiliation: | aInstitute of Computational Mathematics and Scientific Engineering Computing, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, PO Box 2719, Beijing 100080, PR China;bGraduate School of the Chinese Academy of Sciences, Beijing, PR China;cDepartment of Computer Science, Hong Kong Baptist University, Kowloon Tong, Hong Kong, PR China |
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| Abstract: | In this paper, we first present the Casorati and Grammian determinant solutions to the (2+1)-dimensional Gardner equation. Then, by using the pfaffianization procedure of Hirota and Ohta, a new integrable coupled system is generated from the Gardner equation. Moreover, Gramm-type pfaffian solutions to the pfaffianized system are proposed. |
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| Keywords: | Soliton Pfaffian Casorati solution Grammian determinant |
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