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Fermionic covariant prolongation structure theory for a $(2 + 1)$ $(2 + 1)$ -dimensional super nonlinear evolution equation

Zhaowen Yan

School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, P. R. China

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and

Chuanzhong Li

http://orcid.org/0000-0001-8833-4037

Department of Mathematics, Ningbo University, Ningbo 315211, P. R. China

E-mail Address: lichuanzhong@nbu.edu.cn

Corresponding author.

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https://doi.org/10.1142/S0219887818501141Cited by:4 (Source: Crossref)

Abstract

In the framework of the fermionic covariant prolongation structure theory (PST), we investigate the integrability of a new $(2 + 1)$ $(2 + 1)$ -dimensional super nonlinear evolution equation (NEE). The prolongation structure of the super integrable system is presented. Moreover, we derive the Bäcklund transformation of the super integrable system.

Keywords:

AMSC: 17B65, 17B80, 37K10

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