Algebraic solitons in the massive Thirring model

2024/06/10 by Jiaqi Han, Han, Jiaqi, Cheng He +3 · 1 citation
Physics and Astronomy · #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2406.06715

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.

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• Nonlocal massive Thirring model and its solutions

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