Dark Sharma–Tasso–Olver Equations and Their Recursion Operators
Yu Wang1 , Biao Li1** , Hong-Li An2
1 Department of Mathematics, and Ningbo Collaborative Innovation Center of Nonlinear Harzard System of Ocean and Atmosphere, Ningbo University, Ningbo 3152112 College of Sciences, Nanjing Agricultural University, Nanjing 210095
Abstract ：A complete scalar classification for dark Sharma–Tasso–Olver's (STO's) equations is derived by requiring the existence of higher order differential polynomial symmetries. There are some free parameters for every class of dark STO systems, thus some special equations including symmetry equation and dual symmetry equation are obtained by selecting a free parameter. Furthermore, the recursion operators of STO equation and dark STO systems are constructed by a direct assumption method.
收稿日期: 2017-10-16
出版日期: 2017-12-17
:
02.30.Ik
(Integrable systems)
02.30.Jr
(Partial differential equations)
02.70.Wz
(Symbolic computation (computer algebra))
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2018, Vol. 35 
