Super Extensions of the Short Pulse Equation
J. C. Brunelli

TL;DR
This paper develops super extensions of the Short Pulse and Elastic Beam equations using a super extension scheme and osp(1,2) algebra, advancing the theory of integrable systems.
Contribution
It introduces super generalizations of the Short Pulse and Elastic Beam equations via a novel super extension scheme based on osp(1,2) algebra.
Findings
Derived super extensions for the Short Pulse and Elastic Beam equations.
Established integrability of the super generalized equations.
Provided a framework for further super extensions in integrable systems.
Abstract
From a super extension of the Wadati, Konno and Ichikawa scheme for integrable systems and using a valued connection 1-form we obtain super generalizations for the Short Pulse equation as well for the Elastic Beam equation.
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