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The instabilities of the nontrivial phase elliptic solutions in a repulsive Bose-Einstein condensate (BEC) with a periodic potential are investigated. Based on the defocusing nonlinear Schr\"{o}dinger (NLS) equation with an elliptic…

Pattern Formation and Solitons · Physics 2023-05-02 Wen-Rong Sun , Jin-Hua Li , Lei Liu , P. G. Kevrekidis

A generalized plasma model having warm ions, iso-thermal electrons, super-thermal electrons and positrons is considered to theoretically investigate the modulational instability (MI) of ion-acoustic waves (IAWs). A standard nonlinear…

Plasma Physics · Physics 2020-06-04 S. Banik , N. M. Heera , T. Yeashna , M. R. Hassan , R. K. Shikha , N. A. Chowdhury , A. Mannan , A. A. Mamun

To explore resonance phenomena in the nonlinear region, we show by experimental measurements and theoretical analyses that resonance happens in modulation instability (MI) from non-instantaneous nonlinearities in photorefractive crystals.…

Pattern Formation and Solitons · Physics 2018-08-01 Ray-Ching Hong , Chun-Yan Lin , You-Lin Chuang , Chien-Ming Wu , Yonan Su , Jeng Yi Lee , Chien-Chung Jeng , Ming-Feng Shih , Ray-Kuang Lee

Modulational instability (MI) of dust acoustic waves (DAWs), which propagates in an opposite polarity dusty plasma system, containing inertial warm negatively and positively charged dust particles as well as non-extensive q-distributed…

Plasma Physics · Physics 2017-12-29 D. M. S. Zaman , A. Mannan , A. A. Mamun

The occurrence of the modulational instability (MI) in transverse dust lattice waves propagating in a one-dimensional dusty plasma crystal is investigated. The amplitude modulation mechanism, which is related to the intrinsic nonlinearity…

Soft Condensed Matter · Physics 2009-11-10 I. Kourakis , P. K. Shukla

We present a detailed analysis of the modulational instability (MI) of ground-state bright solitary solutions of two incoherently coupled nonlinear Schr\"odinger equations. Varying the relative strength of cross-phase and self-phase effects…

patt-sol · Physics 2009-10-31 Dmitry V. Skryabin , William J. Firth

The modulational instability (MI) criteria of dust-ion-acoustic (DIA) waves (DIAWs) have been investigated in a four-component pair-ion plasma having inertial pair-ions, inertialess non-thermal non-extensive electrons, and immobile…

Plasma Physics · Physics 2021-02-04 M. K. Islam , A. A. Noman , J. Akter , N. A. Chowdhury , A. Mannan , T. S. Roy , M. Salahuddin , A. A. Mamun

In this paper, we study modulation instabilities (MI) in a one-dimensional chain configuration of a flexible mechanical metamaterial (flexMM). Using the lumped element approach, flexMMs can be modeled by a coupled system of discrete…

Applied Physics · Physics 2023-05-31 Antoine Demiquel , Vassos Achilleos , Georgios Theocharis , Vincent Tournat

The modulational instability (MI) of the dust-acoustic waves (DAWs) in an electron-positron-ion-dust plasma (containing super-thermal electrons, positrons and ions along with negatively charged adiabatic dust grains) is investigated by the…

Plasma Physics · Physics 2020-01-08 A. A. Noman , N. A. Chowdhury , A. Mannan , A. A. Mamun

We study one dimensional mixtures of two-component Bose-Einstein condensates in the limit where the intra-species and inter-species interaction constants are very close. Near the mixing-demixing transition the polarization and the density…

Quantum Gases · Physics 2018-04-20 T. Congy , A. M. Kamchatnov , N. Pavloff

We explore the stability of supersolid striped waves, plane-wave boselets, and other extended states in one-dimensional spin-orbit-coupled Bose-Einstein condensates with repulsive three-body interactions (R3BIs), modeled by quintic terms in…

We consider instability and localized patterns arising from long wave-short wave (LWSW) resonance in the non-integrable regime numerically. We study the stability and instability of elliptic-function periodic waves with respect to…

Pattern Formation and Solitons · Physics 2024-01-23 Wen-Rong Sun , Boris A. Malomed , Jin-Hua Li

We study modulational instability (MI) of plane waves in nonlocal nonlinear Kerr media. For a focusing nonlinearity we show that, although the nonlocality tends to suppress MI, it can never remove it completely, irrespectively of the…

Pattern Formation and Solitons · Physics 2009-11-07 Wieslaw Krolikowski , Ole Bang , Jens Juul Rasmuss , John Wyller

A theoretical investigation has been made on modulational instability (MI) and dust-acoustic (DA) rogue waves (DARWs) in a four dusty plasma medium containing inertial negatively charged massive heavy (light) cold (hot) dust grains as well…

Plasma Physics · Physics 2018-10-02 S. Jahan , A. Mannan , N. A. Chowdhury , A. A. Mamun

We examine the modulational and parametric instabilities arising in a non-autonomous, discrete nonlinear Schr{\"o}dinger equation setting. The principal motivation for our study stems from the dynamics of Bose-Einstein condensates trapped…

Soft Condensed Matter · Physics 2015-06-24 Z. Rapti , P. G. Kevrekidis , A. Smerzi , A. R. Bishop

In a recent experiment, a Bose-Einstein condensate of Li7 has been excited by a harmonic modulation of the atomic s-wave scattering length via Feshbach resonance. By combining an analytical perturbative approach with extensive numerical…

Quantum Gases · Physics 2011-08-09 Ivana Vidanovic , Antun Balaz , Hamid Al-Jibbouri , Axel Pelster

We study the evolution of a collisionally inhomogeneous matter wave in a spatial gradient of the interaction strength. Starting with a Bose-Einstein condensate with weak repulsive interactions in quasi-one-dimensional geometry, we monitor…

We observe the breakup dynamics of an elongated cloud of condensed $^{85}$Rb atoms placed in an optical waveguide. The number of localized spatial components observed in the breakup is compared with the number of solitons predicted by a…

In this work, we investigate the modulational instability of plane wave solutions within a modified Gross-Pitaevskii equation framework. The equation features cubic and quartic nonlinearity. It models the behaviour of quasi-one-dimensional…

Quantum Gases · Physics 2024-05-20 Sherzod R. Otajonov , Bakhram A. Umarov , Fatkhulla Kh. Abdullaev

We explore the nonlinearity-induced and fractional revivals-driven miscibility dynamics of quasi-2D mass-imbalanced binary Bose-Einstein condensates, confined in a ring-shaped waveguide. During their time-evolution, the two condensate…

Quantum Physics · Physics 2025-02-11 Sriganapathy Raghav , Suranjana Ghosh , Barun Halder , Utpal Roy