# Spatiotemporal engineering of matter-wave solitons in Bose–Einstein condensates

@article{Kengne2020SpatiotemporalEO, title={Spatiotemporal engineering of matter-wave solitons in Bose–Einstein condensates}, author={Emmanuel Kengne and Wu-Ming Liu and Boris A. Malomed}, journal={Physics Reports}, year={2020} }

Abstract Since the realization of Bose–Einstein condensates (BECs) trapped in optical potentials, intensive experimental and theoretical investigations have been carried out for bright and dark matter-wave solitons, coherent structures, modulational instability (MI), and nonlinear excitation of BEC matter waves, making them objects of fundamental interest in the vast realm of nonlinear physics and soft condensed-matter physics. Many of these states have their counterparts in optics, as concerns… Expand

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#### References

SHOWING 1-10 OF 196 REFERENCES

Bright matter wave solitons in Bose–Einstein condensates

- Physics
- 2003

We review recent experimental and theoretical work on the creation of bright matter wave solitons in Bose–Einstein condensates. In two recent experiments, solitons are formed from Bose–Einstein… Expand

Formation of matter-wave soliton trains by modulational instability

- Physics, Medicine
- Science
- 2017

The universal scaling laws exhibited by the system are examined and, through real-time imaging, the long-standing question of whether the solitons in trains are created with effectively repulsive nearest-neighbor interactions or rather evolve into such a structure is addressed. Expand

Engineering Bright Solitons to Enhance the Stability of Two-Component Bose-Einstein Condensates

- Physics
- 2015

We consider a system of coupled Gross-Pitaevskii (GP) equations describing a binary quasi-one-dimensional Bose-Einstein condensate (BEC) with intrinsic time-dependent attractive interactions, placed… Expand

Exact soliton solutions and nonlinear modulation instability in spinor Bose-Einstein condensates

- Physics
- 2005

We find one-, two-, and three-component solitons of the polar and ferromagnetic (FM) types in the general (nonintegrable) model of a spinor (three-component) model of the Bose-Einstein condensate,… Expand

Propagation and interaction of matter-wave solitons in Bose-Einstein condensates with time-dependent scattering length and varying potentials

- Physics
- 2011

We present two families of one-soliton solutions and three families of two-soliton solutions for a generalized nonlinear Schrodinger equation, which is characterized by the time-dependent scattering… Expand

Solitons in nonlinear lattices

- Physics
- 2011

This article offers a comprehensive survey of results obtained for solitons and complex nonlinear wave patterns supported by purely nonlinear lattices (NLs), which represent a spatially periodic… Expand

Bright and dark solitons in a quasi-1D Bose–Einstein condensates modelled by 1D Gross–Pitaevskii equation with time-dependent parameters

- Physics
- 2010

Abstract We investigate the exact bright and dark solitary wave solutions of an effective 1D Bose–Einstein condensate (BEC) by assuming that the interaction energy is much less than the kinetic… Expand

Controlling collapse in Bose-Einstein condensates by temporal modulation of the scattering length

- Physics
- 2003

We consider, by means of the variational approximation (VA) and direct numerical simulations of the Gross-Pitaevskii (GP) equation, the dynamics of two-dimensional (2D) and 3D condensates with a… Expand

Dynamics of a bright soliton in Bose-Einstein condensates with time-dependent atomic scattering length in an expulsive parabolic potential.

- Physics, Medicine
- Physical review letters
- 2005

The results show that, under a safe range of parameters, the bright soliton can be compressed into very high local matter densities by increasing the absolute value of the atomic scattering length, which can provide an experimental tool for investigating the range of validity of the one-dimensional Gross-Pitaevskii equation. Expand

Non-autonomous solitons in inhomogeneous nonlinear media with distributed dispersion

- Physics
- Nonlinear Dynamics
- 2019

We show that the methodology based on the powerful method of the so-called hidden symmetry reductions (HSR) provides a systematic way to analytically derive non-autonomous temporal soliton solutions… Expand