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On the pfaffianized-KP equation with self-consistent sources |
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| Authors: | Hong-Yan Wang Xing-Biao Hu |
| Institution: | a Institute of Computational Mathematics and Scientific Engineering Computing, AMSS, Chinese Academy of Sciences, P.O. Box 2719, Beijing 100080, PR China b Graduate School of the Chinese Academy of Sciences, Beijing, PR China c Department of Computers Science, Hong Kong Baptist University, Kowloon Tong, Hong Kong, PR China |
| Abstract: | A new procedure called ‘source generation’ is applied to the pfaffianized KP equation. As a result, the pfaffianized-KP equation with self-consistent sources (ESCS) is obtained. This coupled system cannot only be reduced to the pfaffianized KP equation, but also reduced to the KP equation with self-consistent sources (KPESCS). So the pfaffianized-KP ESCS can be viewed as a pfaffian version of the KPESCS, which indicates the commutativity of the ‘source generation’ procedure and pfaffianization. |
| Keywords: | Source generation procedure Pfaffianized KP equation Pfaffianization Self-consistent sources |
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