The self-similar brightlike darklike and W-shape solitons in inhomogeneous higher order nonlinear Schrödinger equation

Huo, Kui; Shen, Huiyong

doi:10.1016/j.ijleo.2022.170314

Cited by 3 publications

(1 citation statement)

References 34 publications

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“…Motivated by these achievements, extensive research has been dedicated to investigating localized matter waves within quasi-onedimensional BECs [17][18][19][20][21][22][23][24]. Furthermore, studies focusing on the variable coefficient NLS equation have unveiled the possibility of manipulating and enhancing these localized profiles through the utilization of inhomogeneity parameters [5][6][7][25][26][27][28][29][30][31]. Moreover, investigations have explored the identification of soliton solutions in the generalized NLS equation with spatially modulated parameters and an external potential [32][33][34][35].…”

Section: Introductionmentioning

confidence: 99%

Controlling Matter-Wave Smooth Positons in Bose–Einstein Condensates

Manikandan,

Serikbayev,

Vijayasree

et al. 2023

Symmetry

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In this investigation, we explore the existence and intriguing features of matter-wave smooth positons in a non-autonomous one-dimensional Bose–Einstein condensate (BEC) system with attractive interatomic interactions. We focus on the Gross–Pitaevskii (GP) equation/nonlinear Schrödinger-type equation with time-modulated nonlinearity and trap potential, which govern nonlinear wave propagation in the BEC. Our approach involves constructing second- and third-order matter-wave smooth positons using a similarity transformation technique. We also identify the constraints on the time-modulated system parameters that give rise to these nonlinear localized profiles. This study considers three distinct forms of modulated nonlinearities: (i) kink-like, (ii) localized or sech-like, and (iii) periodic. By varying the parameters associated with the nonlinearity strengths, we observe a rich variety of captivating behaviors in the matter-wave smooth positon profiles. These behaviors include stretching, curving, oscillating, breathing, collapsing, amplification, and suppression. Our comprehensive studies shed light on the intricate density profile of matter-wave smooth positons in BECs, providing valuable insights into their controllable behavior and characteristics in the presence of time-modulated nonlinearity and trap potential effects.

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Section: Introductionmentioning

confidence: 99%

Controlling Matter-Wave Smooth Positons in Bose–Einstein Condensates

Manikandan,

Serikbayev,

Vijayasree

et al. 2023

Symmetry

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Soliton-controlling dynamics with novel constraint conditions in inhomogeneous higher-order nonlinear Schrödinger equation fiber system

Huo

2023

J Opt

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Dynamical Behaviours of Matter Wave Positons in Bose-Einstein Condensates

Manikandan,

Serikbayev,

Vijayasree

et al. 2023

Preprint

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In this investigation, we explore the existence and intriguing features of matter wave positons in a nonautonomous one-dimensional Bose-Einstein condensate (BEC) system with attractive interatomic interactions. We focus on the Gross-Pitaevskii (GP) equation/nonlinear Schrödinger (NLS)-type equation with time-modulated nonlinearity and trap potential, governing nonlinear wave propagation in the BEC. Our approach involves constructing second- and third-order matter wave positons using a similarity transformation technique. We also identify the constraints on the time-modulated system parameters that give rise to these nonlinear localized profiles. The study considers three distinct forms of modulated nonlinearities: (i) kink-like, (ii) localized or -like, and (iii) periodic. By varying the parameters associated with the nonlinearity strengths, we observe a rich variety of evolution behaviors in the matter wave positon profiles. These behaviors include stretching, curving, oscillating, breathing, collapsing, amplification, and suppression. Our comprehensive studies shed light on the intricate dynamics of matter wave positons in BECs, providing valuable insights into their behavior and characteristics in the presence of time-modulated nonlinearity and trap potential effects.

show abstract

The self-similar brightlike darklike and W-shape solitons in inhomogeneous higher order nonlinear Schrödinger equation

Cited by 3 publications

References 34 publications

Controlling Matter-Wave Smooth Positons in Bose–Einstein Condensates

Controlling Matter-Wave Smooth Positons in Bose–Einstein Condensates

Soliton-controlling dynamics with novel constraint conditions in inhomogeneous higher-order nonlinear Schrödinger equation fiber system

Dynamical Behaviours of Matter Wave Positons in Bose-Einstein Condensates

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