Miura and auto-Backlund transformations for the q-deformed KP and q-deformed modified KP hierarchies |
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| Authors: | Jipeng Cheng |
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| Institution: | Department of Mathematics, China University of Mining and Technology Xuzhou, Jiangsu 221116, P. R. China |
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| Abstract: | The Miura and anti-Miura transformations between the q-deformed KP and the q-deformed modified KP hierarchies are investigated in this paper. Then the auto-Backlund transformations for the q-deformed KP and q-deformed modified KP hierarchies are constructed through the combinations of the Miura and anti-Miura transformations. And the corresponding results are also generalized to the constrained cases. At last, some examples of Miura and auto-Backlund transformations are given. |
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| Keywords: | the q-KP and q-mKP hierarchies the constrained q-KP and constrained q-mKP hierarchies Miura transformation auto-Backlund transformation 35Q51 37K10 37K40 |
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