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Bilinearization and soliton solutions of N=1 supersymmetric coupled dispersionless integrable system
Authors:Arifa Mirza
Institution:1. Department of Physics, University of the Punjab, Quaid-e-Azam Campus, 54590, Lahore, Pakistan.;2. Department of Physics, Punjab University College of Information Technology, University of the Punjab, Allama Iqbal Campus, Lahore-54590, Pakistan
Abstract:An N=1 supersymmetric generalization of coupled dispersionless (SUSY-CD) integrable system has been proposed by writing its superfield Lax representation. It has been shown that under a suitable variable transformation, the SUSY-CD integrable system is equivalent to N=1 supersymmetric sine-Gordon equation. A superfield bilinear form of SUSY-CD integrable system has been proposed by using super Hirota operator. Explicit expressions of superfield soliton solutions of SUSY-CD integrable system have been obtained by using the Hirota method.
Keywords:integrable systems  supersymmetry  coupled dispersionless system  bilinearization  Hirota method
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