Algebraic solitons in the massive Thirring model

IF 2.4 3区 物理与天体物理 Q1 Mathematics Physical review. E Pub Date : 2024-09-04 DOI:10.1103/physreve.110.034202
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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大质量瑟林模型中的代数孤子
我们提出了描述大质量瑟林模型中两个代数孤子动力学的精确解。每个代数孤子都对应于考普-纽厄尔谱问题中的一个简单嵌入特征值,并在以相同速度行进的孤波家族中达到最大质量。通过凝聚两个代数孤子的速度,我们找到了一个代数双孤子的新解,它对应于一个双内嵌特征值。我们证明了双孤子达到了单孤子的双倍质量,并描述了两个相同代数孤子的缓慢相互作用。
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来源期刊
Physical review. E
Physical review. E 物理-物理:流体与等离子体
CiteScore
4.60
自引率
16.70%
发文量
0
审稿时长
3.3 months
期刊介绍: Physical Review E (PRE), broad and interdisciplinary in scope, focuses on collective phenomena of many-body systems, with statistical physics and nonlinear dynamics as the central themes of the journal. Physical Review E publishes recent developments in biological and soft matter physics including granular materials, colloids, complex fluids, liquid crystals, and polymers. The journal covers fluid dynamics and plasma physics and includes sections on computational and interdisciplinary physics, for example, complex networks.
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