On linearization of super sine-Gordon equation
M. Siddiq, M. Hassan
TL;DR
This paper introduces two super Riccati equations that lead to linear problems for the super sine-Gordon equation, revealing their connection via super gauge transformation and Bäcklund transformation.
Contribution
It presents new super Riccati equations and links their linear problems through super gauge and Bäcklund transformations, advancing the understanding of super sine-Gordon integrability.
Findings
Two super Riccati equations are derived.
The linear problems are connected by a super gauge transformation.
Relation to super Bäcklund transformation is established.
Abstract
Two sets of super Riccati equations are presented which result in two linear problems of super sine-Gordon equation. The linear problems are then shown to be related to each other by a super gauge transformation and to the super B\"{a}cklund transformation of the equation.
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