Darboux transformation and explicit solutions for the Satsuma-Hirota coupled equation |
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| Authors: | Xianguo Geng Guoliang He |
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| Institution: | Department of Mathematics, Zhengzhou University, 100 Kexue Road, Zhengzhou, Henan 450001, PR China |
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| Abstract: | A Darboux transformation for the Satsuma-Hirota coupled equation is obtained with the help of the gauge transformation between the Lax pairs. As an application of the Darboux transformation, we give some new explicit solutions, including rational solutions, soliton solutions and periodic solutions and others, of the Satsuma-Hirota coupled equation. |
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| Keywords: | Satsuma-Hirota coupled equation Darboux transformation Explicit solutions |
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