Topological and non-topological kink families in non-linear \((\mathbb{S}^1\times\mathbb{S}^1)\)-sigma models

DOI10.1016/j.cnsns.2023.107503arXiv2305.03434MaRDI QIDQ6058765

M. A. González León, A. Alonso Izquierdo, A. J. Balseyro Sebastián

Publication date: 1 November 2023

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2305.03434

zbMATH Keywords

Bogomol'nyi procedurekink solutions in a torusmassive non-linear sigma modelsnon-topological kinks

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Quantum computation (81P68) NLS equations (nonlinear Schrödinger equations) (35Q55)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A noncommutative sigma-model
• Effects of topological defects and local curvature on the electronic properties of planar graphene
• New models for two real scalar fields and their kink-like solutions
• Construction of topological defect networks with complex scalar fields
• Continuously deformable topological structure
• Solitons in systems of coupled scalar fields
• On domain walls in a Ginzburg-Landau non-linear \(\mathbb{S}^{2}\)-sigma model
• Nonlinear optical waveguide lattices: asymptotic analysis, solitons, and topological insulators
• Kinks in massive non-linear \(\mathbb{S}^1\times\mathbb{S}^1\)-sigma models
• Non-topological kink scattering in a two-component scalar field theory model
• Topology of cosmic domains and strings
• Kink manifolds in (1+1)-dimensional scalar field theory
• One-dimensional solitary waves in singular deformations ofSO(2) invariant two-component scalar field theory models
• Cosmic strings and domain walls
• Stable kink-kink and metastable kink-antikink solutions

This page was built for publication: Topological and non-topological kink families in non-linear \((\mathbb{S}^1\times\mathbb{S}^1)\)-sigma models