Darboux transformation and explicit solutions for two integrable equations |
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| Authors: | Zhaqilao Zhijun Qiao |
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| Institution: | a College of Mathematics Science, Inner Mongolia Normal University, Huhhot 010022, People?s Republic of China
b Department of Mathematics, The University of Texas Pan-American, 1201 West University Drive, Edinburg, TX 78539, USA |
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| Abstract: | A new N-fold Darboux transformation for two integrable equations is constructed with the help of a gauge transformation for the spectral problem proposed by Qiao Z.J. Qiao, Phys. Lett. A 192 (1994) 316-322]. By the Darboux transformation, explicit soliton and multi-soliton solutions for the two equations are obtained. In particular, soliton and complexiton solutions are shown through some figures. |
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| Keywords: | Darboux transformation Explicit solution Integrable equations Solitons |
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