Stable Kink-Kink and Metastable Kink-Antikink Solutions

IF 0.9 3区物理与天体物理 Q2 MATHEMATICS

Symmetry Integrability and Geometry-Methods and Applications Pub Date : 2022-11-04 DOI:10.3842/SIGMA.2023.034

C. Halcrow, E. Babaev

引用次数: 4

Abstract

We construct and study two kink theories. One contains a static 2-kink configuration with controllable binding energy. The other contains a locally stable non-topological solution, which we call a lavion. The new models are 1D analogs of non-integrable systems in higher dimensions such as the Skyrme model and realistic vortex systems. To help construct the theories, we derive a simple expression for the interaction energy between two kinks.

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稳定扭结和亚稳态扭结反扭结解决方案

我们构建并研究了两个扭结理论。其中一个包含具有可控结合能的静态2扭结构型。另一个包含局部稳定的非拓扑解，我们称之为lavion。新模型是高维不可积系统的1D模拟，如Skyrme模型和现实涡旋系统。为了帮助构建这些理论，我们推导了两个扭结之间相互作用能量的简单表达式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Symmetry Integrability and Geometry-Methods and Applications 物理-物理：数学物理

CiteScore

1.80

自引率

0.00%

发文量

审稿时长

4-8 weeks

期刊介绍： Scope Geometrical methods in mathematical physics Lie theory and differential equations Classical and quantum integrable systems Algebraic methods in dynamical systems and chaos Exactly and quasi-exactly solvable models Lie groups and algebras, representation theory Orthogonal polynomials and special functions Integrable probability and stochastic processes Quantum algebras, quantum groups and their representations Symplectic, Poisson and noncommutative geometry Algebraic geometry and its applications Quantum field theories and string/gauge theories Statistical physics and condensed matter physics Quantum gravity and cosmology.