Results 71 to 80 of about 6,339 (163)

Cohomogeneity one Ricci Solitons from Hopf Fibrations

, 2019
This paper studies cohomogeneity one Ricci solitons. If the isotropy representation of the principal orbit $G/K$ consists of two inequivalent $Ad_K$-invariant irreducible summands, the existence of parameter families of non-homothetic complete steady and
Wink, Matthias
core  

Initial value problem for cohomogeneity one gradient Ricci solitons

, 2011
Consider a smooth manifold $M$. Let $G$ be a compact Lie group which acts on $M$ with cohomogeneity one. Let $Q$ be a singular orbit for this action. We study the gradient Ricci soliton equation $\Hess(u)+\Ric(g)+\frac{\epsilon}{2}g=0$ around $Q$.
Besse, Bérard Bergery, Cao, Cao, Cao, Chow, Eminenti, Eschenburg, Feldman, Fulton, Hamilton, Hamilton, Ivey, Koiso, Malgrange, Maria Buzano, Petersen, Wasow   +17 more
core   +1 more source

MMS Observation of Trapping of Electrons by Chorus Waves Inside a Magnetic Hole

Journal of Geophysical Research: Space Physics, Volume 131, Issue 3, March 2026.
Abstract We present an event of chorus waves embedded within a magnetic hole (MH) in the Earth's magnetosheath, observed by the Magnetospheric Multi‐Scale (MMS) mission on 1 March 2016. Unlike conventional cases where chorus waves are typically detected near the center of a magnetic depression, in this event lower‐band chorus waves appear predominantly
Krushna C. Barik, Yoshiharu Omura, Satyavir Singh   +2 more
wiley   +1 more source

Toral symmetries of collapsed ancient solutions to the homogeneous Ricci flow

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract Collapsed ancient solutions to the homogeneous Ricci flow on compact manifolds occur only on the total space of principal torus bundles. Under an algebraic assumption that guarantees flowing through diagonal metrics and a tameness assumption on the collapsing directions, we prove that such solutions have additional symmetries, that is, they ...
Anusha M. Krishnan, Francesco Pediconi, Sammy Sbiti   +2 more
wiley   +1 more source

Recent Advances in Collective Behaviors of Micro/Nanomotor Swarms

Advanced Materials, Volume 38, Issue 9, 12 February 2026.
This review describes the driving forces behind collective motion, explores the self‐organization of micro/nano swarms across zero‐dimensional (0D), one‐dimensional (1D), two‐dimensional (2D), and three‐dimensional (3D) spaces, and highlights their potential in drug delivery, environmental monitoring, and smart devices.
Siwen Sun, Bingbing Sun, Alexander B. Cook, Tania Patiño Padial, Jan C. M. van Hest   +4 more
wiley   +1 more source

Multi‐Soliton Microcombs Enable Ultrafast Nanometric‐Precision Ranging and Photon‐Level Detection

Advanced Science, Volume 13, Issue 12, 27 February 2026.
Our work first demonstrates dual‐multi‐soliton ranging and confirms its multifunctional capability. The method achieves ultrafast and nanometric‐precision measurement. For practical applications, we further extend the multi‐soliton states to photon‐level ranging.
Jiawen Zhi, Xiaoyang Guo, Xusheng Yang, Brent E. Little, Sai T. Chu, Chenggang Shao, Mengyu Wang, Yan Liang, Peng Xie, Weiqiang Wang, Hanzhong Wu   +10 more
wiley   +1 more source

Dynamical behavior of water wave phenomena for the 3D fractional WBBM equations using rational sine-Gordon expansion method

Scientific Reports
To examine the dynamical behavior of travelling wave solutions of the water wave phenomenon for the family of 3D fractional Wazwaz-Benjamin-Bona-Mahony (WBBM) equations, this work employs the rational Sine-Gordon expansion (RSGE) approach based on the ...
Abdulla-Al- Mamun, Chunhui Lu, Samsun Nahar Ananna, Md Mohi Uddin   +3 more
doaj   +1 more source

Novel solitary wave solutions and bifurcation analysis of multispecies dusty plasma consisting of cold dust grains

Alexandria Engineering Journal
This study focuses on revealing closed-form solutions for traveling waves in the nonlinear dynamical model of dust-acoustic waves in multispecies of dusty plasma.
Reem Altuijri, Nauman Raza, Muhammad Umair, Muhammad Farman, Hanadi M. AbdelSalam, Abaker A. Hassaballa, Hegagi M. Ali   +6 more
doaj   +1 more source

Exploring optical solitary wave solutions in the (2+1)-dimensional equation with in-depth of dynamical assessment

Heliyon
The current study explores the (2+1)-dimensional Chaffee-Infante equation, which holds significant importance in theoretical physics renowned reaction-diffusion equation with widespread applications across multiple disciplines, for example, ion-acoustic ...
Hira Ashaq, Sheikh Zain Majid, Muhammad Bilal Riaz, Muhammad Imran Asjad, Taseer Muhammad   +4 more
doaj   +1 more source

Diverse soliton wave profile analysis in ion-acoustic wave through an improved analytical approach

Partial Differential Equations in Applied Mathematics
In engineering and applied sciences, several physical phenomena can be more precisely characterized by employing nonlinear fractional partial differential equations.
U.H.M. Zaman, Mohammad Asif Arefin, M. Ali Akbar, M. Hafiz Uddin   +3 more
doaj   +1 more source