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The interaction between two co-propagating electrostatic wavepackets characterized by arbitrary carrier wavenumber is considered. A one-dimensional (1D) non-magnetized plasma model is adopted, consisting of a cold inertial ion fluid…

Plasma Physics · Physics 2024-03-26 N. Lazarides , Giorgos P. Veldes , Amaria Javed , Ioannis Kourakis

We present turbulent properties of electrostatic drift waves in a nonuniform collisional plasma composed of magnetised electrons and ions in the presence of immobile dust particles. For this purpose, we derive a pair of nonlinear…

Plasma Physics · Physics 2012-10-19 A. Kendl , P. K. Shukla

A number of qualitative comparisons of experimental results on unidirectional freak wave generation in a hydrodynamic laboratory are presented in this paper. A nonlinear dispersive type of wave equation, the nonlinear Schr\"{o}dinger…

Fluid Dynamics · Physics 2016-09-30 N. Karjanto , E. van Groesen

We consider a system of two discrete nonlinear Schr\"{o}dinger equations, coupled by nonlinear and linear terms. For various physically relevant cases, we derive a modulational instability criterion for plane-wave solutions. We also find…

Soft Condensed Matter · Physics 2015-06-24 Z. Rapti , A. Trombettoni , P. G. Kevrekidis , D. J. Frantzeskakis , Boris A. Malomed , A. R. Bishop

The instability and nonlinear evolution of directional ocean waves is investigated numerically by means of simulations of the governing kinetic equation for narrow-band surface waves. Our simulation results reveal the onset of the…

Fluid Dynamics · Physics 2015-05-14 Bengt Eliasson , Padma K. Shukla

We consider asymmetric (nonreciprocal) wave transmission through a layered nonlinear, non mirror-symmetric system described by the one-dimensional Discrete Nonlinear Schr\"odinger equation with spatially varying coefficients embedded in an…

Pattern Formation and Solitons · Physics 2013-11-12 Stefano Lepri , Giulio Casati

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

An ultracold wave packet of bosonic atoms loaded into a travelling laser wave may form a many-atom soliton.This is disturbed by a homogeneous force field, for example by the inevitable gravitation. The wave packet is accelerated and…

Condensed Matter · Physics 2009-10-30 Markus Holzmann , Juergen Audretsch

We study the nonlinear modulation property of flexural-gravity waves on a water surface covered by a compressed ice sheet of given thickness and density in a basin of a constant depth. For weakly nonlinear perturbations, we derive the…

Fluid Dynamics · Physics 2022-08-10 Alexey V. Slunyaev , Yury A. Stepanyants

In this paper, modulation instability and nonlinear supratransmission are investigated in a one-dimensional chain of atoms using cubic-quartic nonlinearity coefficients. As a result, we establish the discrete nonlinear evolution equation by…

Pattern Formation and Solitons · Physics 2023-08-09 Alphonse Houwe , Souleymanou Abbagari , Lanre Akinyemi , Serge Yamigno Doka , Kofane Timoleon Crepin

We consider the nonlinear wave modulation of arbitrary amplitude periodic traveling wave solutions of the Ostrovsky equation, which arises as a model for the unidirectional propagation of small-amplitude, weakly nonlinear surface and…

Analysis of PDEs · Mathematics 2025-05-28 Mathew A. Johnson , Jeffrey Oregero , Wesley R. Perkins

Spin waves propagating in magnetic materials exhibit nonlinear behavior at large amplitudes due to the competition between excitation and relaxation, providing an attractive platform for exploring nonlinear wave dynamics. In particular,…

Modulation instability, rogue wave and spectral analysis are investigated for the nonlinear Schrodinger equation with the higher-order terms. The modulation instability distribution characteristics from the sixth-order to the eighth-order…

Exactly Solvable and Integrable Systems · Physics 2020-06-24 Yunfei Yue , Lili Huang , Yong Chen

This paper presents a detailed study on the controlled experimental observation of drift wave instabilities in an inhomogeneous Six pole cusp magnetic field generated by an in-house developed Multi-pole line cusp magnetic field device (MPD)…

Plasma Physics · Physics 2021-12-08 A. D. Patel , M. Sharma , R. Ganesh , N. Ramasubramanian , P. K. Chattopadhyay

We theoretically investigate the phenomenon of modulation instability for systems obeying nonlinear Schr\"odinger equation, which are under the influence of an external homogeneous synthetic magnetic field. For an initial condition, the…

Quantum Gases · Physics 2021-01-13 Karlo Lelas , Ozana Čelan , David Prelogović , Hrvoje Buljan , Dario Jukić

A theoretical investigation has been made to understand the mechanism of the formation of both bright and dark envelope soltions associated with dust-ion-acoustic waves (DIAWs) propagating in an unmagnetized three component dusty plasma…

Plasma Physics · Physics 2020-07-21 M. K. Islam , B. E. Sharmin , S. Biswas , M. Hassan , A. A. Noman , N. A. Chowdhury , A. Mannan , A. A. Mamun

The dynamics of two pairs of counter-propagating waves in two-component media is considered within the framework of two generally nonintegrable coupled Sine-Gordon equations. We consider the dynamics of weakly nonlinear wave packets, and…

Pattern Formation and Solitons · Physics 2009-11-11 S. D. Griffiths , R. H. J. Grimshaw , K. R. Khusnutdinova

A numerical exploration of a gain-loss nonlinear Schr\"odinger equation was carried out utilizing over 180000 core hours to conduct more than 10000 unique simulations in an effort to characterize the model's six dimensional parameter space.…

Pattern Formation and Solitons · Physics 2014-02-21 Justin Q. Anderson , Rachel A. Ryan , Mingzhong Wu , Lincoln D. Carr

Dust-acoustic (DA) waves (DAWs) and their modulational instability (MI) have been investigated theoretically in a plasma system consisting of inertial opposite polarity (positively and negatively) warm adiabatic charged dust particles as…

Plasma Physics · Physics 2018-11-14 M. H. Rahman , N. A. Chowdhury , A. Mannan , M. Rahman , A. A. Mamun

The dynamics of the modulation instability induced by cross phase modulation is studied by considering the influence of the walk-off and noninstantaneous response effects for two copropagating optical fields travelling in the anomalous…

Optics · Physics 2017-11-08 Askery Canabarro , B. Santos , B. de Lima Bernardo