Fermionization of Sharma-Tasso-Olver System

Citation:

Biwei YAO,Senyue LOU.Fermionization of Sharma-Tasso-Olver System[J].Chinese Annals of Mathematics B,2012,33(2):271~280
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Authors:

Biwei YAO; Senyue LOU;

Foundation:

by the National Natural Science Foundation of China (Nos.10735030, 11175092), the National Basic Research Program of China (Nos.2007CB814800, 2005CB422301) and K. C. Wong Magna Fund in Ningbo University.
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 Painlev\'e analysis. Furthermore, some types of special exact solutions to the supersymmetric extensions are obtained.

Keywords:

STO equation,Supersymmetric integrable systems, Fermionization approach

Classification:

37K10,35Q51
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