Results 1 to 10 of about 2,823 (51)

Algebraic Schouten solitons of Lorentzian Lie groups with Yano connections

Communications in Analysis and Mechanics, 2023
In this paper, we discuss the beingness conditions for algebraic Schouten solitons associated with Yano connections in the background of three-dimensional Lorentzian Lie groups.
Jinli Yang, Jiajing Miao
doaj   +3 more sources

Algebraic Schouten solitons associated to the Bott connection on three-dimensional Lorentzian Lie groups

Electronic Research Archive
In this paper, I define and classify the algebraic Schouten solitons associated with the Bott connection on three-dimensional Lorentzian Lie groups with three different distributions.
Jinguo Jiang
doaj   +3 more sources

Algebraic Schouten Solitons of Three-Dimensional Lorentzian Lie Groups [PDF]

Symmetry, 2023
In 2016, Wears defined and studied algebraic T-solitons. In this paper, we define algebraic Schouten solitons as a special T-soliton and classify the algebraic Schouten solitons associated with Levi-Civita connections, canonical connections, and Kobayashi–Nomizu connections on three-dimensional Lorentzian Lie groups that have some product structure.
Siyao Liu
openaire   +2 more sources

Perturbed Bott algebraic Schouten solitons on 3D Lorentzian Lie groups

Electronic Research Archive
In this paper, we defined and classified the algebraic Schouten solitons that are associated with the perturbed Bott connection on three-dimensional Lorentzian Lie groups possessing three distinct distributions.
Xinrui Li, Jiajing Miao, Haiming Liu
doaj   +2 more sources

Classification of Algebraic Schouten Solitons on Lorentzian Lie Groups Associated with the Perturbed Canonical Connection and the Perturbed Kobayashi–Nomizu Connection

Symmetry
In this paper, we investigate the algebraic conditions of algebraic Schouten solitons on three-dimensional Lorentzian Lie groups associated with the perturbed canonical connection and the perturbed Kobayashi–Nomizu connection. Furthermore, we provide the complete classification for these algebraic Schouten solitons on three-dimensional Lorentzian Lie ...
Jinguo Jiang, Yanni Yang
openaire   +2 more sources

Homology of Warped Product Semi‐Invariant Submanifolds of a Sasakian Space Form with Semisymmetric Metric Connection

Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023
This paper focuses on the investigation of semi‐invariant warped product submanifolds of Sasakian space forms endowed with a semisymmetric metric connection. We delve into the study of these submanifolds and derive several fundamental results. Additionally, we explore the practical implications of our findings by applying them to the homology analysis ...
Ibrahim Al-Dayel, Meraj Ali Khan, Mohammad Shuaib, Qingkai Zhao   +3 more
wiley   +1 more source

Algebraic Schouten Solitons of Three-Dimensional Lorentzian Lie Groups

, 2022
21pages
Liu, Siyao, Wang, Yong
openaire   +2 more sources

The Extended Direct Algebraic Method for Extracting Analytical Solitons Solutions to the Cubic Nonlinear Schrödinger Equation Involving Beta Derivatives in Space and Time

Fractal and Fractional, 2023
In the field of nonlinear optics, quantum mechanics, condensed matter physics, and wave propagation in rigid and other nonlinear instability phenomena, the nonlinear Schrödinger equation has significant applications.
Farhana Tasnim, M. Akbar, M. Osman
semanticscholar   +1 more source

Stability of Algebraic Solitons for Nonlinear Schrödinger Equations of Derivative Type: Variational Approach [PDF]

Annales de l'Institute Henri Poincare. Physique theorique, 2020
We consider the following nonlinear Schrödinger equation of derivative type: 1i∂tu+∂x2u+i|u|2∂xu+b|u|4u=0,(t,x)∈R×R,b∈R.\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy}
M. Hayashi
semanticscholar   +1 more source

Open String Renormalization Group Flow as a Field Theory

Fortschritte der Physik, Volume 72, Issue 11, November 2024.
Abstract This article shows that the integral flow‐lines of the RG‐flow of open string theory can be interpreted as the solitons of a Hořova–Lifshitz sigma‐model of open membranes. The authors argue that the effective background description of this model implies the g‐theorem of open string theory.
Julius Hristov
wiley   +1 more source