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nlin.SI2026
A Classification of Hirota-Integrable Supersymmetric Bilinear KdV-Type Equations
Laurent Delisle, Amine Jaouadi
We present a classification of supersymmetric bilinear KdV-type equations admitting unconstrained three-super-soliton solutions. Extending Hirota's classical three-soliton criterio…
nlin.SI2026
A Vector Bilinear Framework for Soliton Dynamics in Coupled Modified KdV Systems
Laurent Delisle, Amine Jaouadi
We investigate the integrable structure and soliton dynamics of a coupled modified Korteweg-de Vries (cmKdV) system with a real symmetric coupling matrix. We introduce a vector ref…
nlin.SI2023
A novel Hirota bilinear approach to supersymmetric equations
Laurent Delisle
This article presents a novel application of the Hirota bilinear formalism to the supersymmetric KdV and Burgers equations. This new approach avoids splitting N=2 equations i…