Darboux transformations for supersymmetric two-boson equation
Xiao-Xing Niu, Q. P. Liu, Lingling Xue
TL;DR
This paper develops Darboux transformations for the supersymmetric two-boson equation, providing new tools for solution generation and analysis in supersymmetric integrable systems.
Contribution
It introduces explicit Darboux and Bäcklund transformations for the supersymmetric two-boson equation, including a nonlinear superposition formula, advancing solution methods in supersymmetric integrable models.
Findings
Constructed Darboux transformations for the supersymmetric two-boson equation
Derived associated Bäcklund transformations
Obtained nonlinear superposition formula for one transformation
Abstract
In this paper we construct Darboux transformations for the supersymmetric Two-boson equation. Two Darboux transformations and associated B\"acklund transformations are presented. For one of them, we also obtain the corresponding the nonlinear superposition formula.
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Taxonomy
TopicsNonlinear Waves and Solitons · Advanced Topics in Algebra · Quantum Mechanics and Non-Hermitian Physics