Grammian solutions and pfaffianization of a non-isospectral and variable-coefficient Kadomtsev-Petviashvili equation |
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| Authors: | Ye-Peng Sun Hon-Wah Tam |
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| Institution: | a Institute of Computational Mathematics and Scientific Engineering Computing, AMSS, Chinese Academy of Sciences, PO Box 2719, Beijing 100080, PR China
b Department 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 Grammian determinant solutions to the non-isospectral and variable-coefficient Kadomtsev-Petviashvili (vcKP) equation. Then, by using the pfaffianization procedure of Hirota and Ohta, a new non-isospectral and variable-coefficient integrable coupled system is generated. Moreover, Gramm-type pfaffian solutions of the pfaffianized system are proposed. |
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| Keywords: | Non-isospectral vcKP equation Grammian determinant solution Pfaffianization |
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