Algebraic solitons in the massive Thirring model

被引：1

作者：

Han, Jiaqi ^{[1
]}

He, Cheng ^{[2
]}

Pelinovsky, Dmitry E. ^{[1
]}

机构：

[1] McMaster Univ, Dept Math & Stat, Hamilton, ON L8S 4K1, Canada

[2] Ningbo Univ, Sch Math & Stat, Ningbo 315211, Peoples R China

来源：

PHYSICAL REVIEW E | 2024年 / 110卷 / 03期

关键词：

ORBITAL STABILITY; EQUATION;

D O I：

10.1103/PhysRevE.110.034202

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

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.

引用

页数：11

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[21] ASYMPTOTIC SCALE INVARIANCE IN A MASSIVE THIRRING MODEL
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