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Fermionic Covariant Prolongation Structure for a Super Nonlinear Evolution Equation in 2+1 Dimensions |
| Zhao-Wen Yan1**, Xiao-Li Wang2, Min-Li Li3 |
1School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021
2School of Science, Qilu University of Technology, Ji'nan 250353
3School of Mathematical Sciences, Capital Normal University, Beijing 100048
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| Cite this article: |
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Zhao-Wen Yan, Xiao-Li Wang, Min-Li Li 2017 Chin. Phys. Lett. 34 070203 |
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Abstract The integrability of a (2+1)-dimensional super nonlinear evolution equation is analyzed in the framework of the fermionic covariant prolongation structure theory. We construct the prolongation structure of the multidimensional super integrable equation and investigate its Lax representation. Furthermore, the Bäcklund transformation is presented and we derive a solution to the super integrable equation.
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Received: 14 April 2017
Published: 23 June 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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02.40.-k
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(Geometry, differential geometry, and topology)
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| Fund: Supported by the National Natural Science Foundation of China under Grant Nos 11605096, 11547101 and 11601247. |
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