Results 31 to 40 of about 117,223 (220)
Three-dimensional topological solitons in PT-symmetric optical lattices [PDF]
, 2016 We address the properties of fully three-dimensional solitons in complex parity-time (PT)-symmetric periodic lattices with focusing Kerr nonlinearity, and uncover that such lattices can stabilize both fundamental and vortex-carrying soliton states.
Hang, Chao +3 more
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Physical Review D, 2020 We present the saddle-point approximation for the effective Hamiltonian of the quantum kink in two-dimensional linear sigma models to all orders in the time-derivative expansion. We show how the effective Hamiltonian can be used to obtain semiclassical soliton form factors, valid at momentum transfers of order the soliton mass.
Ilarion V. Melnikov +2 more
openaire +2 more sources
Algebraic Schouten solitons of Lorentzian Lie groups with Yano connections
Communications in Analysis and Mechanics, 2023 In this paper, we discuss the beingness conditions for algebraic Schouten solitons associated with Yano connections in the background of three-dimensional Lorentzian Lie groups.
Jinli Yang, Jiajing Miao
doaj +1 more source
A Potential of Incoherent Attraction Between Multidimensional Solitons
, 1998 We obtain analytical expressions for an effective potential of interaction between two- and three-dimensional (2D and 3D) solitons (including the case of 2D vortex solitons) belonging to two different modes which are incoherently coupled by cross-phase ...
Afanasjev +21 more
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Lattice-supported surface solitons in nonlocal nonlinear media [PDF]
, 2006 We reveal that lattice interfaces imprinted in nonlocal nonlinear media support surface solitons that do not exist in other similar settings, including interfaces of local and nonlocal uniform materials.
Andersen +18 more
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Alexandria Engineering Journal, 2022 In this paper, the modified simple equation method and the extended simplest equation method are applied to secure optical solitons and other solutions for Radhakrishnan-Kundu Lakshmanan equation.
H.A. Eldidamony +4 more
doaj +1 more source
, 2013 Left-invariant Cotton solitons on homogeneous manifolds are determined. Moreover, algebraic Cotton solitons are studied providing examples of non-invariant Cotton solitons, both in the Riemannian and Lorentzian homogeneous ...
Calviño-Louzao, E. +3 more
core +1 more source
Symmetry-protected solitons and bulk-boundary correspondence in generalized Jackiw–Rebbi models
Scientific Reports, 2021 We investigate the roles of symmetry and bulk-boundary correspondence in characterizing topological edge states in generalized Jackiw–Rebbi (JR) models.
Chang-geun Oh +2 more
doaj +1 more source
Rigidity of asymptotically conical shrinking gradient Ricci solitons [PDF]
, 2013 We show that if two gradient Ricci solitons are asymptotic along some end of each to the same regular cone, then the soliton metrics must be isometric on some neighborhoods of infinity of these ends. Our theorem imposes no restrictions on the behavior of
Brett Kotschwar +2 more
core
Solitons supported by complex PT symmetric Gaussian potentials
, 2011 The existence and stability of fundamental, dipole, and tripole solitons in Kerr nonlinear media with parity-time symmetric Gaussian complex potentials are reported.
Hu, Sumei +5 more
core +1 more source