Algebraic solitons in the massive Thirring model

Autor:	Han, Jiaqi, He, Cheng, Pelinovsky, Dmitry E.
Rok vydání:	2024
Předmět:	Nonlinear Sciences - Exactly Solvable and Integrable Systems Mathematical Physics Mathematics - Analysis of PDEs Nonlinear Sciences - Pattern Formation and Solitons
Druh dokumentu:	Working Paper
Popis:	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. Comment: 18 pages; 3 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2406.06715 Zobrazit plný text záznamu View this record from Arxiv