Results 61 to 70 of about 28,239 (177)

Soliton structure dynamics in inhomogeneous media [PDF]

Physica A 260, 418 (1998), 1999
We show that soliton interaction with finite-width inhomogeneities can activate a great number of soliton internal modes. We obtain the exact stationary soliton solution in the presence of inhomogeneities and solve exactly the stability problem. We present a Karhunen-Loeve analysis of the soliton structure dynamics as a time-dependent force pumps ...
arxiv   +1 more source

η-Ricci Soliton on 3-Dimensional f-Kenmotsu Manifolds [PDF]

, 2018
The object of the present paper is to carry out η-Ricci soliton on 3-dimensional regularf-Kenmotsu manifold and we turn up some geometrical results.
Chaubey, S. K., Hui, S. K., Yadav, S. K.
core   +1 more source

Classification of generalized Yamabe solitons in Euclidean spaces [PDF]

arXiv, 2020
In this paper, we consider generalized Yamabe solitons which include many notions, such as Yamabe solitons, almost Yamabe solitons, h-almost Yamabe solitons, gradient k-Yamabe solitons and conformal gradient solitons. We completely classify the generalized Yamabe solitons on hypersurfaces in Euclidean spaces arisen from the position vector field.
arxiv  

Multi loop soliton solutions and their interactions in the Degasperis-Procesi equation [PDF]

, 2012
In this article, we construct loop soliton solutions and mixed soliton - loop soliton solution for the Degasperis-Procesi equation. To explore these solutions we adopt the procedure given by Matsuno. By appropriately modifying the $\tau$-function given in the above paper we derive these solutions.
arxiv   +1 more source

Tension term, interchange symmetry, and the analogy of energy and tension laws of the AdS soliton solution

, 2009
In this paper, we reconsider the energy and tension laws of the Ricci flat black hole by taking the contribution of the tension term into account. After this considering and inspired by the interchange symmetry between the Ricci flat black hole and the ...
A. Ashtekar, A.M. Awad, D. Kastor, D. Kastor, D. Kastor, E. Witten, G.W. Gibbons, J.H. Traschen, J.M. Maldacena, K. Skenderis, M. Henningson, P.K. Townsend, R.B. Mann, S.W. Hawking, T. Harmark, Y. Brihaye, Y. Kurita, Y. Kurita, Ya-Peng Hu   +18 more
core   +1 more source

A Study on Contact Metric Manifolds Admitting a Type of Solitons

Journal of Mathematics
The principal aim of the present article is to characterize certain properties of η-Ricci–Bourguignon solitons on three types of contact manifolds, that are K-contact manifolds, κ,μ-contact metric manifolds, and Nκ-contact metric manifolds.
Tarak Mandal, Uday Chand De, Meraj Ali Khan, Mohammad Nazrul Islam Khan   +3 more
doaj   +1 more source

Compactness theorems of gradient Ricci solitons

, 2005
In this paper, we prove the compactness theorem for gradient Ricci solitons. Let $(M_{\alpha}, g_{\alpha})$ be a sequence of compact gradient Ricci solitons of dimension $n\geq 4$, whose curvatures have uniformly bounded $L^{\frac{n}{2}}$ norms, whose ...
Anderson, Anderson, Bando, Besse, Cao, Cheeger, Gao, Greene, Hamilton, Hamilton, Jost, Kasue, Nakajima, Perelman, Peters, Shi, Sibner, Tian, Tian, Uhlenbeck, Xi Zhang, Zhang   +21 more
core   +1 more source

Expanding Kähler–Ricci solitons coming out of Kähler cones

Journal of differential geometry, 2020
We give necessary and sufficient conditions for a Kähler equivariant resolution of a Kähler cone, with the resolution satisfying one of a number of auxiliary conditions, to admit a unique asymptotically conical (AC) expanding gradient Kähler-Ricci ...
Ronan J. Conlon, Alix Deruelle
semanticscholar   +1 more source

On the finiteness of the fundamental group of a compact shrinking Ricci soliton

, 2007
Myers's classical theorem says that a compact Riemannian manifold with positive Ricci curvature has finite fundamental group. Using Ambrose's compactness crite- rion or J. Lott's results, M. Fernandez-Lopez and E.
Zhenlei Zhang
semanticscholar   +1 more source

Two-soliton solution for the derivative nonlinear Schrödinger equation with nonvanishing boundary conditions [PDF]

, 2006
An explicit two-soliton solution for the derivative nonlinear Schr\"odinger equation with nonvanishing boundary conditions is derived, demonstrating details of interactions between two bright solitons, two dark solitons, as well as one bright soliton and one dark soliton.
arxiv   +1 more source