Algebraic solitons in the massive Thirring model

Jiaqi Han; Cheng He; Dmitry E. Pelinovsky

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arXiv · 2406.06715

Algebraic solitons in the massive Thirring model

Jiaqi Han·Cheng He·Dmitry E. Pelinovsky

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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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BibTeX RIS

Jiaqi Han, Cheng He, Dmitry E. Pelinovsky. 2024-06-10. Algebraic solitons in the massive Thirring model. https://arxiv.org/abs/2406.06715

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