Algebraic solitons in the massive Thirring model
Exactly Solvable and Integrable Systems
2024-06-12 v1 Mathematical Physics
Analysis of PDEs
math.MP
Pattern Formation and Solitons
Abstract
We present exact solutions describing dynamics of two algebraic solitons in the massive Thirring model. Each algebraic soliton corresponds to a simple embedded eigenvalue in the Kaup--Newell spectral problem and attains the maximal mass among the family of solitary waves traveling with the same speed. By coalescence of speeds of the two algebraic solitons, we find a new solution for an algebraic double-soliton which corresponds to a double embedded eigenvalue. We show that the double-soliton attains the double mass of a single soliton and describes a slow interaction of two identical algebraic solitons.
Cite
@article{arxiv.2406.06715,
title = {Algebraic solitons in the massive Thirring model},
author = {Jiaqi Han and Cheng He and Dmitry E. Pelinovsky},
journal= {arXiv preprint arXiv:2406.06715},
year = {2024}
}
Comments
18 pages; 3 figures;