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Dark Sharma–Tasso–Olver Equations and Their Recursion Operators |
| Yu Wang1, Biao Li1**, Hong-Li An2 |
1Department of Mathematics, and Ningbo Collaborative Innovation Center of Nonlinear Harzard System of Ocean and Atmosphere, Ningbo University, Ningbo 315211
2College of Sciences, Nanjing Agricultural University, Nanjing 210095
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| Cite this article: |
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Yu Wang, Biao Li, Hong-Li An 2018 Chin. Phys. Lett. 35 010201 |
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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.
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Received: 16 October 2017
Published: 17 December 2017
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| PACS: |
02.30.Ik
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(Integrable systems)
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02.30.Jr
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(Partial differential equations)
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02.70.Wz
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(Symbolic computation (computer algebra))
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| Fund: Supported by the National Natural Science Foundation of China under Grant Nos 11775121, 11775116 and 11435005, the Ningbo Natural Science Foundation of China under Grant No 2015A610159, and the K. C. Wong Magna Fund in Ningbo University. |
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