On three dimensional solitons

Author: vkaw

August undefined, 2024

WebObjective Mathematica Slovaca, the oldest and best mathematical journal in Slovakia, was founded in 1951 at the Mathematical Institute of the Slovak Academy of Science, … Web14 de out. de 2024 · This article models experimentally observed three dimensional particle-like waves that develop in nematic liquid crystals, with negative dielectric and …

Optical solitons and other solitary wave solutions of $$(1+1

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-confinement regime, which corresponds to realistic experimental conditions in Bose-Einstein condensates (BECs). 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 … industry partnership program guidelines

Yamabe solitons on 3-dimensional contact metric manifolds with …

Web12 de abr. de 2024 · We report solutions for stable compound solitons in a three-dimensional quasi-phase-matched photonic crystal with the quadratic (${\ensuremath{\chi}}^{(2)}$) nonlinearity. The photonic crystal is introduced with a checkerboard structure, which can be realized by means of the available technology. The … Web1 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) Web21 de set. de 2024 · Download PDF Abstract: The existence and stability of stable bright solitons in one-dimensional (1D) media with a spatially periodical modulated Kerr … login as a different user windows 11

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

Three-Dimensional Homogeneous Generalized Ricci Solitons

A 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 Web1 de dez. de 2011 · Abstract and Figures. Results are presented on the theoretical investigation of various three-dimensional structures in magnets, such as cnoidal and … industry partnership grantWeb19 de nov. de 1999 · Optical spatial solitons are self-trapped optical beams of finite spatial cross section that travel without the divergence associated with freely diffracting beams.This is possible only if the medium has a response that acts like a self-focusing mechanism for the light. The self-trapping is a consequence of a strong interaction between the medium … industry partnership

"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 have not yet been studied. In this paper, we start the study of Yamabe solitons on a three-dimensional Kenmotsu manifold and obtain some local classiﬁcation theorems. … " - On three dimensional solitons

On three dimensional solitons

Static three-dimensional topological solitons in fluid chiral ...

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….

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Web11 de abr. de 2024 · The aim of this study is to investigate the dynamical behavior of $$(1+1)$$ ( 1 + 1 ) -dimensional Kudryashov’s equation with generalized anti-cubic nonlinearity by extracting the exact closed form solitons and other traveling wave solutions. This nonlinear mathematical model explains the propagation of pulses though optical … Web11 de abr. de 2024 · The aim of this study is to investigate the dynamical behavior of $$(1+1)$$ ( 1 + 1 ) -dimensional Kudryashov’s equation with generalized anti-cubic …

WebV. E. Zakharov and E. A. Kuznetsov, “On Three-Dimensional Solitons,” Soviet Physics, Vol. 39, 1974, pp. 285288. has been cited by the following article: TITLE: New Explicit … Web30 de set. de 2024 · Abstract. We study three-dimensional generalized Ricci solitons, both in Riemannian and Lorentzian settings. We shall determine their homogeneous …

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]. Web12 de abr. de 2024 · We report solutions for stable compound solitons in a three-dimensional quasi-phase-matched photonic crystal with the quadratic …

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 ...

Web2015 RICCI SOLITONS ON THREE-DIMENSIONAL $\eta$-EINSTEIN ALMOST KENMOTSU MANIFOLDS. Yaning Wang, Ximin Liu. Taiwanese J. Math. 19(1): 91-100 … industry partnership program queenslandWeb26 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 … log in as a different user windows 10Web11 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) … login as administrator windows 10 using cmdWebRicci 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 … log in as administrator win 11WebSolitons are self-trapped modes existing in various nonlinear systems. Creating stable solitons in two- and three-dimensional settings is a challenging goal in various branches of physics. Several methods have been developed theoretically and experimentally to achieve this, but few of them can support stable multi-dimensional solitons in free … login as administrator win 10WebImpact 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. login as administrator in windows 10Web17 de dez. de 2015 · By means of variational methods and systematic numerical analysis, we demonstrate the existence of metastable solitons in three dimensional (3D) free space, in the context of binary atomic condensates combining contact self-attraction and spin-orbit coupling, which can be engineered by available experimental techniques. … industry partnership with polytechnic