TL;DR
This paper introduces a new supersymmetric version of the Sawada-Kotera equation, demonstrating its integrability through Lax representation, conserved quantities, and a recursion operator.
Contribution
It proposes a novel supersymmetric extension of the Sawada-Kotera equation with proven integrability features.
Findings
Existence of Lax representation for the supersymmetric equation
Infinite conserved quantities identified
Recursion operator constructed
Abstract
A new supersymmetric equation is proposed for the Sawada-Kotera equation. The integrability of this equation is shown by the existence of Lax representation and infinite conserved quantities and a recursion operator.
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