Relativistic dissipatons in integrable nonlinear Majorana type spinor model
Abstract
By method of moving frame, the relativistic integrable nonlinear model for real, Majorana type spinor fields in 1+1 dimensions is introduced and gauge equivalence of this model with Papanicolau spin model on one sheet hyperboloid is established. In terms of the so called double numbers, the model is represented also as hyperbolic complex relativistic model, in the form similar to the massive Thirring model. By using Hirota bilinear method, one dissipaton solution of this model is constructed. We calculated first integrals of motion for this dissipaton and show that it represents relativistic particle with highly nonlinear mass. Analyzing resonance conditions for scattering of two relativistic dissipatons, we find a solution describing resonant property of the dissipatons.
Keywords
Cite
@article{arxiv.2201.10984,
title = {Relativistic dissipatons in integrable nonlinear Majorana type spinor model},
author = {Oktay K Pashaev and Jyh-Hao Lee},
journal= {arXiv preprint arXiv:2201.10984},
year = {2022}
}
Comments
25 pages, submitted to Southeast Asian Bulletin of Mathematics special issue in honor of Prof. Ky Fan