Solving Supersymmetric Hirota–Satsuma Equation by a Direct Bosonization Approach

Abstract

The N = 1 supersymmetric Hirota-Satsuma equation is transformed into systems of coupled bosonic equations by expanding fermionic superfield in terms of 2, 3, and n(n ≥ 4) Grassmann parameters, respectively. Taking advantage of the resulting coupled bosonic systems being linear in the undetermined variables, the supersymmetric Hirota-Satsuma equation is solved out by using the mapping and deformation method. Besides, the richness of the localized excitations of the supersymmetric integrable system is discovered.