2010/12/07 by A. R. Aguirre, J. F. Gomes, L. H. Ymai +3 · 13 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Fermion #Grassmannian #Integrable system #Jump #Lax pair #Mathematical physics #Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Nonlinear system #Physics #Pure mathematics #Quantum mechanics #Soliton #Space (punctuation) #Thirring model #Transformation (genetics) #nlin.SI
paper · pdf · doi:10.1007/jhep02(2011)017
published in Journal of High Energy Physics 2011(2) (Springer Nature) · Latex 21 pages
arxiv created 2010/12/07 · openalex publication_date 2011/02/03 · arxiv updated 2011/03/10 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In this paper we discuss the Lax formulation of the Grassmanian and Bosonic Thirring models in the presence of jump defects. For the Grassmanian case, the defect is described by Bäcklund transformation which is responsible for preserving the integrability of the model. We then propose an extension of the Bäcklund transformation for the Bosonic Thirring model which is verified by some Bäcklund transitions like Vacuum-One soliton, One soliton - One soliton, One soliton - Two solitons and Two solitons - Two solitons. The Lax formulation within the space split by the defect leads to the integrability of Bosonic Thirring model.