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(2+1)-dimensional supersymmetric integrable equations

Zhao-Wen Yan

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

E-mail Address: yanzw@imu.edu.cn

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Tala

School of Physical Sciences and Technology, Inner Mongolia University, Hohhot 010021, P. R. China

E-mail Address: tala19840818@163.com

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Fang Chen

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

E-mail Address: chenfangimu@sina.com

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Tao-Ran Liu

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

E-mail Address: liutaoran428@126.com

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, and

Jing-Min Han

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

E-mail Address: hanjmimu@sina.com

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https://doi.org/10.1142/S021988781750013XCited by:0 (Source: Crossref)

Abstract

By means of two different approaches, we construct the (2+1)-dimensional supersymmetric integrable equations based on the super Lie algebra osp(3/2). We relax the constraint condition of homogenous space of super Lie algebra osp(3/2) in the first approach. In another one, the technique of extending the dimension of the systems is used. Furthermore for the $(2 + 1)$ -dimensional supersymmetric integrable equations, we also derive their Bäcklund transformations.

Keywords:

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