GENERATING SYMMETRY OPERATORS FOR THE KdV EQUATION AND SEEKING THEIR SUPERSYMMETRIC GENERALIZATIONS-Reference-Cited by-同舟云学术

GENERATING SYMMETRY OPERATORS FOR THE KdV EQUATION AND SEEKING THEIR SUPERSYMMETRIC GENERALIZATIONS

Published:1998-07-20 Issue:18 Volume:13 Page:3203-3213
ISSN:0217-751X
Container-title:International Journal of Modern Physics A
language:en
Short-container-title:Int. J. Mod. Phys. A

Author:

BAGCHI B.¹,BECKERS J.²,DEBERGH N.²

Affiliation:

1. Department of Applied Mathematics, University of Calcutta, University College of Science, Calcutta 700009, India

2. Theoretical and Mathematical Physics, Institute of Physics, B.5, University of Liége, B-4000-Liege 1, Belgium

Abstract

Exploiting the Lax form of the Korteweg-de Vries equation, we determine the whole set of its symmetry operators and relate them to conserved quantities. We also study a KdV supersymmetric version and put in evidence its even (bosonic) and odd (fermionic) symmetries. We then get the Lie superalgebra characterizing this supersymmetric nonlinear equation.

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217751X98001591

Reference11 articles.

1. Integrals of nonlinear equations of evolution and solitary waves

2. Lower Korteweg-de Vries equations and supersymmetric structure of the Sine-Gordon and Liouville equations

3. Hierarchy of lower Korteweg–de Vries equations and supersymmetry structure of Miura transformations

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