2016/07/31 by Kumar Abhinav, K. Abhinav, Partha Guha +1 · 12 citations
Mathematics · Physics and Astronomy · #Algebraic number #Algebraic structures and combinatorial models #Boundary (topology) #Boundary value problem #Field (mathematics) #Finite set #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #Supersymmetry #nlin.SI
paper · pdf · doi:10.1209/0295-5075/116/10004
published in Europhysics Letters (EPL) 116(1), 10004 (Institute of Physics) · 6 pages, To appear in Europhysics Letters
openalex created_date 2016/09/16 · openalex publication_date 2016/10/01 · arxiv created 2016/10/24 · arxiv updated 2016/12/21 · openalex updated_date 2026/08/06
The deformed supersymmetric sine-Gordon model, obtained through known deformation of the corresponding potential, is found to be quasi-integrable , like its non-supersymmetric counterpart, which was observed earlier. The system expectedly possesses finite number of conserved quantities, leaving-out an infinite number of non-conserved anomalous charges. The quasi-integrability of this supersymmetric model heavily rely on the boundary conditions of the potential, otherwise rendered to be completely non-integrable. Moreover, interesting additional algebraic structures appear, absent in the non-supersymmetric counterparts.