Contact Integrable Extensions and Zero-Curvature Representations for the Second Heavenly Equation
Oleg I. Morozov
TL;DR
This paper introduces a novel zero-curvature representation for Plebański's second heavenly equation using contact integrable extensions, advancing the understanding of its integrability properties.
Contribution
It applies contact integrable extensions to derive a new zero-curvature representation for the second heavenly equation, a significant step in integrability analysis.
Findings
New zero-curvature representation discovered
Enhanced understanding of the equation's integrability
Method applicable to other integrable systems
Abstract
The method of contact integrable extensions is used to find new zero-curvature representation for Pleba\~nski's second heavenly equation.
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Taxonomy
TopicsNonlinear Waves and Solitons · Black Holes and Theoretical Physics · Advanced Differential Geometry Research