On three dimensional solitons
Web13 de jul. de 2014 · Second order parallel tensors and Ricci solitons in $$3$$3-dimensional normal paracontact geometry. The aim of this paper is to study two problems in the framework of paracontact geometry of dimension $$3$$3, namely, the class of parallel symmetric tensor fields of $$ (0, 2)$$ (0,2)-type and possible…. 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;
On three dimensional solitons
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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. Web15 de dez. de 2024 · By characterizing and simulating the 3D director structure of these solitons, the authors recognized that these are low-dimensional analogs of Skyrme …
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]. Web5 de abr. de 2024 · 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 …
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). 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 …
Web15 de jun. de 2010 · We report results of a systematic analysis of the stability of dissipative optical solitons, with intrinsic vorticity S=0 and 1, in the three-dimensional complex Ginzburg-Landau equation with the cubic-quintic nonlinearity, which is a model of a dispersive optical medium with saturable self-focusing nonlinearity and bandwidth-limited …
WebIn 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 … onset back painWeb1 de mar. de 2000 · We study spatiotemporal three-dimensional bright solitons in optical media whose non-linear response includes third- and fifth-order terms. By means of … ioannis spondisWeb16 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 … onset beach parking feeWeb14 de ago. de 2024 · The purpose of the paper is to study Yamabe solitons on three-dimensional para-Sasakian, paracosymplectic and para-Kenmotsu manifolds. Mainly, … ioannis stouboulosWeb4 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 … ioannis stathopoulosWeb1 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) onset blurred visionWeb1 de mar. de 2000 · We study spatiotemporal three-dimensional bright solitons in optical media whose non-linear response includes third- and fifth-order terms. By means of … ioannis stathopoulos md