Bäcklund transformation, nonlinear superposition formula and solutions of the Calogero equation |
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| Authors: | Xuelin Yong Zhiyong Zhang |
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| Affiliation: | a Department of Mathematics and Physics, North China Electric Power University, Beijing 102206, China
b School of Mathematical Science, Graduate University of Chinese Academy of Sciences, Beijing 100049, China |
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| Abstract: | In this Letter, the Bäcklund transformation for the (2+1)-Calogero equation is presented in the bilinear form. Furthermore, a nonlinear superposition formula related to the transformation is proved rigorously. By the way, the Wronskian determinant solution is also derived and verified completely. |
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| Keywords: | 05.45.Yv 02.30.Ik 02.30.Jr |
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