Moduli spaces for PT-regularized solitons

التفاصيل البيبلوغرافية
العنوان: Moduli spaces for PT-regularized solitons
المؤلفون: Correa, Francisco, Fring, Andreas, Taira, Takanobu
المصدر: Journal ofHigh Energy Physic 2022, 109 (2022)
سنة النشر: 2022
المجموعة: Mathematics
High Energy Physics - Theory
Mathematical Physics
Nonlinear Sciences
مصطلحات موضوعية: High Energy Physics - Theory, Mathematical Physics, Nonlinear Sciences - Exactly Solvable and Integrable Systems
الوصف: We construct and analyse the moduli space (collective coordinates) for a classical field theory in 1 + 1 dimensions that possesses complex stable multi-soliton solutions with real energies when PT-regularized. For the integrable Bullough-Dodd model we show, by comparing with the exact solutions, that a one-dimensional moduli space captures well the main feature of the centre of mass motion of the one and two-soliton solutions. We demonstrate that even the time-delay and spatial displacements occurring for the one-soliton constituents in a multi-soliton scattering process can be extracted from a moduli space analysis. We propose a two dimensional moduli space to describe the newly found triple bouncing scattering amongst the constituents of a dark two double peakon scattering.
Comment: 19 pages, 5 figures
نوع الوثيقة: Working Paper
DOI: 10.1007/JHEP10(2022)109
URL الوصول: http://arxiv.org/abs/2208.03199
رقم الأكسشن: edsarx.2208.03199
قاعدة البيانات: arXiv