On three dimensional solitons
WebSoliton. Solitary wave in a laboratory wave channel. In mathematics and physics, a soliton or solitary wave is a self-reinforcing wave packet that maintains its shape while it propagates at a constant velocity. Solitons … 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).
On three dimensional solitons
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Web12 de abr. de 2024 · We report solutions for stable compound solitons in a three-dimensional quasi-phase-matched photonic crystal with the quadratic … 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
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. Web19 de dez. de 2016 · Three-dimensional (3D) topological solitons are continuous but topologically nontrivial field configurations localized in 3D space and embedded in a …
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 … 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 …
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 …
Web3 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 principle foundation kansas cityWeb17 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. … sigma gamma rho howard universityWeb16 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 … sigma gamma rho iron on patchesWebObjective Mathematica Slovaca, the oldest and best mathematical journal in Slovakia, was founded in 1951 at the Mathematical Institute of the Slovak Academy of Science, … sigma gamma rho international chaptersWeb26 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 … sigma gamma rho induction feesWeb19 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 … the principle method of electron emissionWebSolitons are self-trapped modes existing in various nonlinear systems. Creating stable solitons in two- and three-dimensional settings is a challenging goal in various … sigma gamma rho in south fulton ga