On three dimensional solitons

WebWe study the propagation of nonlinear waves in a three-component reaction-diffusion system. The problem of the existence of the stationary pulse-like solutions is reduced to the analysis of homoclini

RICCI SOLITONS ON THREE-DIMENSIONAL $\eta$-EINSTEIN …

Web1 de jan. de 1974 · PDF On Jan 1, 1974, V.E. Zakharov and others published Three-dimensional solutions ... We show that three-dimensional ion-sound solitons can exist … WebAbstract. We study fundamental and compound gap solitons (GSs) of matter waves in one-dimensional (1D) optical lattices (OLs) in a three-dimensional (3D) weak-radial … shylyn gibson https://newcityparents.org

[1708.04882] Yamabe Solitons on three-dimensional normal …

Web4 de fev. de 2009 · It is shown that purely nonlinear lattices in the form of a periodic array of cylinders with self-focusing nonlinearity, embedded into a linear material can stabilize two-dimensional solitons against collapse. We address the existence and stability of two-dimensional solitons in optical or matter-wave media, which are supported by purely … Web26 de dez. de 2024 · Download PDF Abstract: We present a general approach to excite robust dissipative three-dimensional and high-order solitons and breathers in passively driven nonlinear cavities. Our findings are illustrated in the paradigmatic example provided by an optical Kerr cavity with diffraction and anomalous dispersion, with the addition of … Web17 de ago. de 2007 · We consider the three-dimensional (3D) Gross-Pitaevskii or nonlinear Schrödinger equation with a quasi-2D square-lattice potential (which corresponds to the optical lattice trapping a self-attractive Bose-Einstein condensate, or, in some approximation, to a photonic-crystal fiber, in terms of nonlinear optics). the payal

RICCI SOLITONS ON THREE-DIMENSIONAL $\eta$-EINSTEIN …

Category:Phys. Rev. A 98, 033827 (2024) - Three-dimensional solitons in …

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On three dimensional solitons

Canonical Connections and Algebraic Ricci Solitons of Three-dimensional …

WebYamabe solitons on a three-dimensional Sasakian manifold were studied by R. Sharma [12]. As far as we know, Yamabe solitons on the other almost contact metric manifolds … Web2 Algebraic Ricci Solitons Associated to Canonical Connections and Kobayashi-Nomizu Connections on Three-dimensional Lorentzian Lie Groups. Three-dimensional Lorentzian Lie groups have been classified in[2,4](see[1,Theorems 2.1–2.2]).Throughout this paper,we shall by{Gi}i=1,···,7,denote the connected,simply connected three-dimensional Lie ...

On three dimensional solitons

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WebIn this paper we have studied and obtained results on Conformal Ricci solitons in 3-dimensional trans-Sasakian manifold M satisfying R(ξ, X).B = 0,B(ξ, X).S = 0, S(ξ, X).R = 0,R(ξ, X).P = 0 and P (ξ, X) ... Ricci solitons and gradient Ricci solitons in three-dimensional trans-Sasakian manifolds. M. Turan, Chand Uday De, A. Yildiz; Web11 de abr. de 2024 · Solitons and real-space screening of bulk topology of quantum materials. Alexander C. Tyner, Pallab Goswami. Recent years have seen multiple high-throughput studies reveal an immense number of topological materials through use of symmetry indicators. Despite this success, three-dimensional topological insulators (TI) …

WebImpact of phase on collision between vortex solitons in three-dimensional cubic-quintic complex Ginzburg-Landau equation. Bin Liu, Yun-Feng Liu, and Xing-Dao He Opt. Express 22(21) 26203-26211 (2014) One- and two-dimensional modes in the complex Ginzburg-Landau equation with a trapping potential. WebRicci Solitons on Three-dimensional η-Einstein Almost Kenmotsu Manifolds 95 Lemma 3.1. Let (M,g) be a three-dimensional almost Kenmotsu manifold such that the Reeb vector field belongs to the generalized k-nullity distribution, then we have (3.4) Dk = −4(k+1)ξ, where D denotes the gradient operator with respect tog. Applying the above lemma we …

Web11 de mai. de 2009 · The theory of massive gravity in three dimensions recently proposed by Bergshoeff, Hohm and Townsend (BHT) is considered. At the special case when the theory admits a unique maximally symmetric solution, a conformally flat space that contains black holes and gravitational solitons for any value of the cosmological constant is … WebIvey T., Ricci solitons on compact three-manifolds, Diff. Geom. Appl. 3 (1993) 301-307. Abstract: In this short article we show that there are no compact three-dimensional Ricci solitons other than spaces of constant curvature. This generalizes a result obtained for surfaces by Hamil- ton [4].

Web16 de jun. de 2024 · Stable three-dimensional modon soliton in plasmas. We derive the nonlinear equations that describe coupled drift waves and ion acoustic waves in a …

Weba three dimensional para-Sasakian manifold with r = −6 is a Yamabe soliton, then it is also a Ricci soliton. Section 4 is devoted to Yamabe solitons on three dimensional paracosymplectic manifolds. Our main result about paracosymplectic manifolds is that if the semi-Riemannian metric of a three-dimensional paracosymplectic manifold is a shyl yieldWeb26 de dez. de 2024 · Download PDF Abstract: We present a general approach to excite robust dissipative three-dimensional and high-order solitons and breathers in passively … the payal jain new videoA pseudohermitian (2n+1)-manifold (M^{2n+1}, J,\theta ), with CR structure J and compatible contact form \theta , is called a CR Yamabe soliton if there exist an infinitesimal contact diffeomorphism X and a constant \mu \in {\mathbb R}such that where W is the Tanaka–Webster scalar curvature of (M^{2n+1}, … Ver mais An infinitesimal contact diffeomorphism is a vector field X on M such that L_{X}\theta =\lambda \theta for some function \lambda . It is known that for … Ver mais If (M^{3}, J, \theta , f, \mu ) is a closed three-dimensional CR Yamabe soliton, then \theta is the contact structure of constant … Ver mais Let (M^{3},J,\theta , f, \mu ) be a closed CR Yamabe soliton with P_{0}f=0 for the CR Paneitz operator P_{0}. If the contact class [\theta ] of \theta admits a contact form \widetilde{\theta … Ver mais the pay and accounts officerWeb1 de abr. de 2024 · Theorem 1.2. Let ( G, g) be a three-dimensional connected Lie group, equipped with a left-invariant Lorentzian metric g. G is a non-trivial algebraic Ricci soliton if and only if G is one of the groups listed below: (i) G is a unimodular Lie group with one of the following Lie algebras. (i1) the payal zoneWeb3 de nov. de 2024 · Topologically trivial insulators come in two kinds: atomic, where the Wannier charge centers (WCCs) are localized on the atoms, and obstructed atomic, where the WCCs are located away from the atoms. The latter, which can exhibit interesting surface states and possibly have much larger band gaps than the topological insulators, have so … the pa yarmWebsetting supports a variety of robust 2D and 3D solitons, including quite sophis-ticated ones, such as soliton gyroscopes and hopfions [9]. This direction is related to a still broader area of studies of solitons in media with effective potentials Figure 1. Examples of metastable three-dimensional solitons produced by the two-component BEC shylynn wrestlerWebObjective Mathematica Slovaca, the oldest and best mathematical journal in Slovakia, was founded in 1951 at the Mathematical Institute of the Slovak Academy of Science, … shy luv lyrics