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TMF, 2020 Volume 202, Number 1, Pages 14–19 (Mi tmf9713)

This article is cited in 2 papers

Bilinearization and soliton solutions of the supersymmetric coupled KdV equation

A. Mirzaab, M.ul Hassana

a Department of Physics, University of the Punjab, Lahore, Pakistan
b Punjab University College of Information Technology, University of the Punjab, Lahore, Pakistan

Abstract: We propose an $N=1$ supersymmetric generalization of the coupled Korteweg–de Vries (KdV) equation and use the Hirota superoperator to obtain a superfield bilinear form of the supersymmetric coupled KdV equation. Using the Hirota method, we obtain explicit expressions for superfield soliton solutions of the supersymmetric coupled KdV equation. We also find superfield one- and two-soliton solutions.

Keywords: integrable system, supersymmetry, bilinearization, supersymmetric coupled Korteweg–de Vries equation.

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

Received: 27.02.2019
Revised: 26.06.2019

DOI: 10.4213/tmf9713


 English version:
Theoretical and Mathematical Physics, 2020, 202:1, 11–16

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© Steklov Math. Inst. of RAS, 2024