2009/07/06 by Paulo E G Assis, Paulo E. G. Assis, Andreas Fring · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #hep-th #math-ph #math.MP #nlin.SI
paper · pdf · doi:10.1088/1751-8113/42/42/425206
published as J. Phys. A: Math. Theor. 42 (2009) 425206 (14pp) · 17 pages, 2 figures
arxiv created 2009/07/06 · openalex publication_date 2009/10/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
We provide a novel procedure to obtain complex PT-symmetric multi-particle Calogero systems. Instead of extending or deforming real Calogero systems, we explore here the possibilities for complex systems to arise from real nonlinear field equations. We exemplify this procedure for the Boussinesq equation and demonstrate how singularities in real valued wave solutions can be interpreted as N complex particles scattering amongst each other. We analyze this phenomenon in more detail for the two and three particle case. Particular attention is paid to the implemention of PT-symmetry for the complex multi particle systems. New complex PT-symmetric Calogero systems together with their classical solutions are derived.