Abstract

AbstractHirota equation is a well-known integrable system which describes wave propagation in the ocean and optical fibres. The aim of this article is to construct a super generalized x-dependent Hirota equation which is the super extension of the Hirota equation. We investigate the supersymmetric integrable systems with two constraints and obtain their Lax representation. By means of the gauge transformation, we derive the gauge equivalent counterparts of the systems.

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