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Modulation instability (MI) in continuous media described by a system of two cubic-quintic nonlinear Schr\"odinger equations (NLSE) has been investigated with a focus on revealing the contribution of the quintic nonlinearity to the…

Pattern Formation and Solitons · Physics 2018-12-26 B. B. Baizakov , A. Bouketir , S. M. Al-Marzoug , H. Bahlouli

The data of simultaneous measurements of the surface displacement produced by propagating planar waves in experimental flume and of the dynamic pressure beneath the waves are compared with the theoretical predictions based on different…

Fluid Dynamics · Physics 2022-04-06 A. V. Slunyaev , A. V. Kokorina , M. Klein

We study the modulational instability (MI) of a linearly polarized electromagnetic (EM) wave envelope in an intermediate regime of relativistic degenerate plasmas at a finite temperature $(T\neq0)$ where the thermal energy $(K_BT)$ and the…

Plasma Physics · Physics 2023-06-16 S. Roy , A. P. Misra , A. Abdikian

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

In the present Letter we use the Direct Numerical Simulation (DNS) of the Navier-Stokes equation for a two-phase flow (water and air) to study the dynamics of the modulational instability of free surface waves and its contribution to the…

Chaotic Dynamics · Physics 2015-06-11 A. Iafrati , A. Babanin , M. Onorato

The modulation instability is a focusing mechanism responsible for the formation of strong wave localizations not only on the water surface, but also in a variety of nonlinear dispersive media. Such dynamics is initiated from the injection…

Fluid Dynamics · Physics 2022-06-22 Yuchen He , Andy Witt , Stefano Trillo , Amin Chabchoub , Norbert Hoffmann

Several simulations of turbulence in the Large Plasma Device (LAPD) [W. Gekelman et al., Rev. Sci. Inst. 62, 2875 (1991)] are energetically analyzed and compared with each other and with the experiment. The simulations use the same model,…

Plasma Physics · Physics 2013-05-16 B. Friedman , T. A. Carter , M. V. Umansky , D. Schaffner , I. Joseph

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

The two-dimensional cubic nonlinear Schrodinger equation (NLS) can be used as a model of phenomena in physical systems ranging from waves on deep water to pulses in optical fibers. In this paper, we establish that every one-dimensional…

Pattern Formation and Solitons · Physics 2016-09-08 John D. Carter , Harvey Segur

We study experimentally, in a large-scale basin, the propagation of unidirectional deep water gravity waves stochastically modulated in phase. We observe the emergence of nonlinear localized structures that evolve on a stochastic wave…

Pattern Formation and Solitons · Physics 2018-10-19 A Cazaubiel , G. Michel , S Lepot , B Semin , S Aumaître , M Berhanu , Félicien Bonnefoy , Eric Falcon

We develop modulation theory for undular bores (dispersive shock waves) in the framework of the Gardner, or extended Korteweg--de Vries, equation, which is a generic mathematical model for weakly nonlinear and weakly dispersive wave…

Pattern Formation and Solitons · Physics 2013-03-26 A. M. Kamchatnov , Y. -H. Kuo , T. -C. Lin , T. -L. Horng , S. -C. Gou , R. Clift , G. A. El , R. H. J. Grimshaw

Circumventing the reciprocity invariance has posed an interesting challenge in the design of modern devices for wave engineering. In passive devices, operating the device in the nonlinear response regime is a common means for realizing…

Applied Physics · Physics 2025-10-07 Andrus Giraldo , Behrooz Yousefzadeh

We modify the nonlinear shallow water equations, the Korteweg-de Vries equation, and the Whitham equation, to permit constant vorticity, and examine wave breaking, or the lack thereof. By wave breaking, we mean that the solution remains…

Analysis of PDEs · Mathematics 2017-05-19 Vera Mikyoung Hur

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

We study, theoretically and numerically, the onset and development of modulational instability in an incoherently pumped spatially homogeneous polariton condensate. Within the framework of mean-field theory, we identify regimes of…

Mesoscale and Nanoscale Physics · Physics 2015-04-09 T. C. H. Liew , O. A. Egorov , M. Matuszewski , O. Kyriienko , X. Ma , E. A. Ostrovskaya

Using the Berry-curvature modified kinetic equation we study instabilities in anisotropic chiral plasmas. It is demonstrated that even for a very small value of anisotropic parameter the chiral-imbalance instability is strongly modified.…

High Energy Physics - Theory · Physics 2014-09-09 Avdhesh Kumar , Jitesh R. Bhatt , P. K. Kaw

A proper theoretical research has been carried out to explore the modulational instability (MI) conditions of dust-ion-acoustic (DIA) waves (DIAWs) in a three-component dusty plasma system containing inertialess $\kappa$-distributed…

Plasma Physics · Physics 2021-03-12 B. E. Sharmin , R. K. Shikha , N. K. Tamanna , N. A. Chowdhury , A. Mannan , A. A. Mamun

The dynamics of wave groups is studied for long waves, using the framework of the Benjamin-Bona-Mahony (BBM) equation and its generalizations. It is shown that the dynamics are richer than the corresponding results obtained just from the…

Pattern Formation and Solitons · Physics 2025-05-27 Andrei Marin , Adrian Stefan Carstea

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

Theoretical and numerical studies are presented of the nonlinear amplitude modulation of dust-acoustic (DA) waves propagating in an unmagnetized three component, weakly-coupled, fully ionized plasma consisting of electrons, positive ions…

Plasma Physics · Physics 2009-11-10 I. Kourakis , P. K. Shukla
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