Results 111 to 120 of about 118,300 (223)
Rigidity Characterizations of Conformal Solitons
MathematicsWe study the rigidity of conformal solitons, give a sufficient and necessary condition that guarantees that every closed conformal soliton is gradient conformal soliton, and prove that complete conformal solitons with a nonpositive Ricci curvature must ...
Junsheng Gong, Jiancheng Liu
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Differentiable Manifolds and Geometric Structures
MathematicsThis editorial presents 26 research articles published in the Special Issue entitled Differentiable Manifolds and Geometric Structures of the MDPI Mathematics journal, which covers a wide range of topics particularly from the geometry of (pseudo ...
Adara M. Blaga
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Fission of quasi-static dissipative solitons in chiral nematics
GiantDissipative solitons in liquid crystals (LCs) are represented by three-dimensional solitary waves of director deformation called directrons. The only one exception on the quasi-static counterparts of directrons has ever been observed in achiral nematics.
Jian-Zhou Lin +5 more
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Solitons on Tori and Soliton Crystals [PDF]
Communications in Mathematical Physics, 2014 Necessary conditions for a soliton on a torus $M=\R^m/ $ to be a soliton crystal, that is, a spatially periodic array of topological solitons in stable equilibrium, are derived. The stress tensor of the soliton must be $L^2$ orthogonal to $\ee$, the space of parallel symmetric bilinear forms on $TM$, and, further, a certain symmetric bilinear form on $
openaire +4 more sources
Results in PhysicsThe wavelength and interval tunable second-order bound solitons are generated in a nonlinear polarization rotation mode-locked fiber laser based on a Lyot filter in this paper. The Lyot filter structure is composed of two polarization controllers, two in-
Juanfen Wang +6 more
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Hermite–Gaussian solitons in 1+2 dimensional nonlocal nonlinear systems with Y0-oscillatory response
AIP AdvancesWe investigate the Hermite–Gaussian solitons in 1+2 dimensional nonlocal nonlinear systems with Y0-oscillatory response. The iterative solution of the solitons is numerically found using the accelerated imaginary-time evolution method with amplitude ...
Jing Wang +3 more
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European Physical Journal C: Particles and FieldsWe show that in an elliptic function based formulation for fields with large amplitudes, the rolling down of solitons towards the degenerate vacua can be described as transitions through local meta-stable potentials; the kink-like solitons constructed ...
R. Cartas-Fuentevilla +7 more
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European Physical Journal C: Particles and FieldsWe explore the Geometrization of hyperbolic conformal Ricci solitons and examine the properties of bulk viscous fluid string spacetime in conjunction with the hyperbolic conformal Ricci solitons in this research note. A $$\varnothing ({\mathfrak {Q}})$$ ∅
Mohd Danish Siddiqi +2 more
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Dynamical diversity of FWM-induced pulsating solitons in an ultrafast fiber laser
Scientific ReportsPulsating solitons in fiber lasers embody a captivating phenomenon in nonlinear optics, combining the stability of solitons with the dynamic nature of pulsation.
Hongjie Chen +6 more
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Alexandria Engineering JournalThe coupled higher-order nonlinear Schrödinger equations (CHNLSEs) are investigated in this paper. This model mimic the actuation of the solitons through multimode fibers.
Ola El-Shamy +4 more
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