This article is cited in 5 papers

Integrability properties of a supersymmetric coupled dispersionless integrable system

A. Mirza, M. Hassan

Department of Physics, University of the Punjab, Lahore, Punjab, Pakistan

Abstract: We study the integrability aspects of an $N=1$ supersymmetric coupled dispersionless (SUSY-CD) integrable system in detail. We present a superfield Lax representation of the SUSY-CD system by writing its $(3{\times}3)$-matrix superfield Lax pair and show that the zero-curvature condition corresponds to the SUSY-CD system. From the fermionic superfield Lax representation, we obtain a set of coupled superfield Riccati that we further use to obtain an infinite set of superfield conserved currents. We investigate the Darboux transformation of the SUSY-CD system and use it to obtain multisoliton solutions of the system.

Keywords: integrable system, supersymmetry, Darboux transformation, supersymmetric coupled dispersionless system.

PACS: 02.30.Ik, 11.30.Pb, 47.35.Fg

Received: 23.10.2017
Revised: 12.12.2017

DOI: 10.4213/tmf9498

 English version: Theoretical and Mathematical Physics, 2018, 195:3, 825–833

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