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1-20 of 33 Search Results for

#### quasi-solitons

Images

**Published:**September 2022

FIG. 8.14 The left and right panels display experimentally observed transverse (spatial) and longitudinal (temporal) structure of the fundamental spatiotemporal quasi-soliton created in the multi-core waveguide, whose cross-section structure is shown in Fig. 8.12 ( Minardi

*et al.*, 2010 ). More about this image found in The left and right panels display experimentally observed transverse (spati...Images

**Published:**September 2022

FIG. 13.1 A scheme for the creation of quasi-2D (“pancake-shaped”) solitons supported by the DDI between magnetic atoms confined in the vertical direction by the HO trapping potential. The angle between the fixed orientation of atomic magnetic dipoles, p ^ , and the confinement direction is θ ( Chen

*et al.*, 2017 ). More about this image found in A scheme for the creation of quasi-2D (“pancake-shaped”) solitons supported...Book Chapter

Series: AIPP Books, Principles

Published: September 2022

10.1063/9780735425118_008

EISBN: 978-0-7354-2511-8

ISBN: 978-0-7354-2509-5

...optical angular momentum vortex solitons photorefractive crystals photonic lattice ordinary and extraordinary polarization of light surface solitons semi-discrete solitons light bullets quasi-solitons Anderson localization 2D Vortex Solitons Stabilized by Virtual Photonic Lattices...

Book Chapter

Series: AIPP Books, Principles

Published: September 2022

10.1063/9780735425118_004

EISBN: 978-0-7354-2511-8

ISBN: 978-0-7354-2509-5

...saturable nonlinearity three-photon absorption vortex beams necklace beams Rayleigh length quasi-stability Fundamental (2+1)D Solitons While the multidimensional solitons produced by the nonlinear Schrödinger (NLS) equation with the cubic–quintic (CQ) nonlinearity were studied in detail...

Book

Series: AIPP Books, Principles

Published: March 2023

10.1063/9780735424395

EISBN: 978-0-7354-2439-5

ISBN: 978-0-7354-2436-4

Images

**Published:**September 2022

FIG. 14.45 Plots of |

*U*(*x*,*y*,*t*,*z*)| in the plane of*x*=*y*= 0 illustrate typical outcomes of collisions between two 3D dissipative vortex solitons with*S*= 2, produced by simulations of Eq. (5.64) with parameters ( 14.66 ) and initial conditions ( 14.65 ). (a) Merger of the slowly colliding solitons, which were set in motion by the kicks with χ = 0.5 (see the detailed picture in Fig. 14.46 ). (b) Creation of an additional quiescent soliton with*S*= 2 in the case of χ = 2 . (c) Quasi-elastic collision of fast solitons in the case of χ = 4 , see the detailed picture in Fig. 14.47 ( Mihalache*et al.*, 2008a ). More about this image found in Plots of |*U*(*x*,*y*,Book Chapter

Series: AIPP Books, Principles

Published: September 2022

10.1063/9780735425118_013

EISBN: 978-0-7354-2511-8

ISBN: 978-0-7354-2509-5

... rise to 2D solitons with spontaneously broken symmetry ( Li

*et al.*, 2021 ). FIG. 13.1 A scheme for the creation of quasi-2D (“pancake-shaped”) solitons supported by the DDI between magnetic atoms confined in the vertical direction by the HO trapping potential. The angle between the fixed...Images

**Published:**September 2022

FIG. 13.2 The left panel: the density distribution produced by a stable quasi-2D (pancake-shaped) soliton solution of Eq. ( 13.12 ) in the mid plane,

*y*= 0, for parameters*g*= 10 and*g*/*g*_{DDI}= 0.911 [which satisfies the necessary condition ( 13.23 )]. The right panel: the same, as predicted by the VA solution based on*Ansatz*( 13.14 ) ( Tikhonenkov*et al.*, 2008a ). More about this image found in The left panel: the density distribution produced by a stable quasi-2D (pan...Book

Series: AIPP Books, Principles

Published: September 2022

10.1063/9780735425118

EISBN: 978-0-7354-2511-8

ISBN: 978-0-7354-2509-5

Book Chapter

Series: AIPP Books, Principles

Published: September 2022

10.1063/9780735425118_007

EISBN: 978-0-7354-2511-8

ISBN: 978-0-7354-2509-5

... the underlying checkerboard. This dynamical regime is possible because the presence of the self-repulsive quintic term in Eq. ( 7.16 ) makes the effective Peierls–Nabarro potential, induced by the lattice for the soliton considered as a quasi-particle, essentially lower than in the case of the cubic-only self...

Book Chapter

Series: AIPP Books, Principles

Published: September 2022

10.1063/9780735425118_015

EISBN: 978-0-7354-2511-8

ISBN: 978-0-7354-2509-5

... objects, while quasi-1D dark solitons, embedded as stripes in the 2D space, are subject to flexural instability. Nevertheless, quasi-1D dark solitons may be stabilized against 2D perturbations by means of a potential in the form of a quasi-1D potential barrier ( Ma

*et al.*, 2010 ). X-waves are so...Book Chapter

Series: AIPP Books, Principles

Published: September 2022

10.1063/9780735425118_003

EISBN: 978-0-7354-2511-8

ISBN: 978-0-7354-2509-5

... of the soliton becomes quasi-one-dimensional, close to the 1D solution (1.32) [optical fields with

*ρ*close to*ρ*_{max}are sometimes considered as “liquid light,” with an effective surface tension at the edges ( Michinel*et al.*, 2002 ; and Michinel*et al.*, 2006...Book Chapter

Series: AIPP Books, Principles

Published: September 2022

10.1063/9780735425118_014

EISBN: 978-0-7354-2511-8

ISBN: 978-0-7354-2509-5

... of the Galilean boost. In turn, this possibility suggests one to explore collisions between moving DSs. Simulations of the collisions between them, performed by Sakaguchi (2005) , demonstrate that, depending on parameters, the collisions may be quasi-elastic (the solitons separate after the collision, although...

Images

**Published:**September 2022

FIG. 1.16 Left: The experimentally observed density distribution in a quasi-stable TS (Townes soliton) created in a minority component of a binary condensate of

^{87}Rb atoms, embedded in the majority background. The effective self-attraction in the minority component, which is necessary to build the TS, is induced by the immiscibility of the binary system. Right: The experimentally observed radial profile of the same TS (the chain of dots), fitted to the respective numerical solution of Eq. ( 1.103 ). The inset shows the same data on the semilog scale, highlighting the exponentially decaying structure of the TS’s tails ( Bakkali-Hassani*et al.*, 2021 ). More about this image found in Left: The experimentally observed density distribution in a quasi-stable TS...Book Chapter

Series: AIPP Books, Principles

Published: September 2022

10.1063/9780735425118_002

EISBN: 978-0-7354-2511-8

ISBN: 978-0-7354-2509-5

..., are summarized in Chap. 3. Experimental findings that demonstrate the existence of stable and quasi-stable 2D solitons in optical media with competing and saturable nonlinearities are presented in Chap. 4. Stabilization of Multidimensional Solitons by Linear or Nonlinear Potentials The wave field under...

Book Chapter

Series: AIPP Books, Principles

Published: September 2022

10.1063/9780735425118_001

EISBN: 978-0-7354-2511-8

ISBN: 978-0-7354-2509-5

... ) with coefficients different from the specific value N ( N + 1 ) , generate a mixture of solitons and quasi-linear waves, alias “radiation modes,” which spread in the course of the evolution. In terms of the IST for KdV and other integrable equations, solitons are represented by the

*discrete*...Book Chapter

Series: AIPP Books, Methods

Published: December 2022

10.1063/9780735425422_004

EISBN: 978-0-7354-2542-2

ISBN: 978-0-7354-2540-8

... ). The Scherrer equation is regarded as precise in the range between ∼50 and 200 nm. The minimum peak width determines the upper limit of the estimation, whilst signal-to-noise and peak fitting constraints determine the lower limit. The Scherrer equation is based on the assumption of a quasi-equiaxed grain...

Images

**Published:**September 2022

FIG. 4.1 The left panel displays a set of experimentally recorded (at different propagation distances

*z*, as indicated in the figure) power-density profiles of a vortex light beam, with winding number*S*= 1, which propagates through the nonlinear optical material (carbon disulfide). Plot (a) was obtained for a low value of the initial power density, 1 GW/cm^{2}, which corresponds to the linear propagation regime. It shows diffractive spread-out of the vortex ring, as designated by dashed yellow lines. Plot (b) represents an essentially nonlinear regime corresponding to an initial power density of 9 GW/cm^{2}. In the latter case, a quasi-stable vortex soliton is observed, as stressed by means of solid green lines. In the right panel, columns (a) and (b) show counterparts of the same propagation regimes produced by simulations of Eq. ( 4.1 ), with a physically relevant value of the three-photon-absorption coefficient γ . In addition, columns (c) and (d) display results of the simulations for still higher initial power densities, viz., 12 and 15 GW/cm^{2}, in which case the nonlinear vortex beam is subject to the splitting instability ( Reyna*et al.*, 2016 ). More about this image found in The left panel displays a set of experimentally recorded (at different prop...Book Chapter

Series: AIPP Books, Principles

Published: September 2022

10.1063/9780735425118_frontmatter

EISBN: 978-0-7354-2511-8

ISBN: 978-0-7354-2509-5

...Front Matter Written by the preeminent researcher in this field,

*Multidimensional Solitons*provides a comprehensive survey of self-trapped modes in two- and three-dimensional nonlinear media. It reviews studies covering fundamentals and recently reported theoretical and experimental...Book Chapter

Series: AIPP Books, Principles

Published: September 2022

10.1063/9780735425118_006

EISBN: 978-0-7354-2511-8

ISBN: 978-0-7354-2509-5

... the supercritical collapse either. The stabilization of the 3D solitons in BEC is possible if the NM is combined with a quasi-1D spatially periodic potential, induced by the OL ( Matuszewski

*et al.*, 2005 ). A somewhat related result is that the DM, applied in the same form as in Eqs. ( 6.56 ) and ( 6.57...1