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Fermionization of Sharma-Tasso-Olver System
Authors:Biwei YAO and Senyue LOU
Institution:1. Faculty of Science, Ningbo University, Ningbo 315211, Zhejiang, China
2. Faculty of Science, Ningbo University, Ningbo 315211, Zhejiang, China; Department of Physics, Shanghai Jiao Tong University, Shanghai 200040, China; School of Mathematics, Fudan University. Shanghai 200433
Abstract:By applying the fermionization approach, the inverse version of the bosonization approach, to the Sharma-Tasso-Olver (STO) equation, three simple supersymmetric extensions of the STO equation are obtained from the Painlevé analysis. Furthermore, some types of special exact solutions to the supersymmetric extensions are obtained.
Keywords:STO equation  Supersymmetric integrable systems  Fermionization approach
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