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The evolution of a linearly-polarized, long-wavelength Alfv\'en wave --propagating in a collisionless magnetized plasma with a sheared parallel-directed velocity flow-- is here studied by means of two-dimensional hybrid Vlasov-Maxwell (HVM)…

We present laboratory experiments on turbulence in a linearly stratified fluid driven by an ensemble of internal gravity waves which approaches statistical homogeneity and axi-symmetry. In a way similar to several recent experimental works,…

Fluid Dynamics · Physics 2023-05-31 Nicolas Lanchon , Daniel Odens Mora , Eduardo Monsalve , Pierre-Philippe Cortet

We construct one soliton solutions for the nonlinear Schroedinger equation with variable quadratic Hamiltonians in a unified form by taking advantage of a complete (super) integrability of generalized harmonic oscillators. The soliton wave…

Mathematical Physics · Physics 2010-11-25 Erwin Suazo , Sergei K. Suslov

The existence and the basic features of ion-acoustic (IA) envelope solitons in a self-gravitating degenerate quantum plasma system (SG-DQPS), containing inertial non-relativistically degenerate light and heavy ion species as well as…

Plasma Physics · Physics 2018-03-06 N. Ahmed , N. A. Chowdhury , A. Mannan , A. A. Mamun

Davydova-Lashkin-Fokas-Lenells equation (DLFLE) is a gauged equivalent form of Fokas-Lenells equation (FLE) that addresses both spatio-temporal dispersion (STD) and nonlinear dispersion (ND) effects. The balance between those effects…

Exactly Solvable and Integrable Systems · Physics 2024-08-22 Riki Dutta , Sagardeep Talukdar , Gautam K. Saharia , Sudipta Nandy

The existence of ``dispersion-managed solitons'', i.e., stable pulsating solitary-wave solutions to the nonlinear Schr\"{o}dinger equation with periodically modulated and sign-variable dispersion is now well known in nonlinear optics. Our…

Exactly Solvable and Integrable Systems · Physics 2009-11-07 Simon Clarke , Boris A. Malomed , Roger Grimshaw

The analytical treatment of nonlinear evolution of the shear-flow-modified current driven ion cyclotron instability and shear-flow-driven ion cyclotron kinetic instabilities of magnetic field--aligned plasma shear flow is presented.…

Plasma Physics · Physics 2009-11-13 V. S. Mikhailenko , V. V. Mikhailenko , K. N. Stepanov , N. A. Azarenkov

We study the propagation of monochromatic surface waves on a turbulent flow. The flow is generated in a layer of liquid metal by an electromagnetic forcing. This forcing creates a quasi two-dimensional (2D) turbulence with strong vertical…

Fluid Dynamics · Physics 2015-11-19 Pablo Gutiérrez , Sébastien Aumaitre

Interactions between solitons and the coherent oscillation structures generated by localized disturbances via modulational instability are studied within the framework of the focusing nonlinear Schrodinger equation. Two main interaction…

Pattern Formation and Solitons · Physics 2018-10-24 Gino Biondini , Sitai Li , Dionyssios Mantzavinos

Differential rotation is induced in tokamak plasmas when an underlying symmetry of the governing gyrokinetic-Maxwell system of equations is broken. One such symmetry-breaking mechanism is considered here: the turbulent acceleration of…

Plasma Physics · Physics 2019-01-11 Michael Barnes , Felix I. Parra

The Generalized Hasegawa-Mima (GHM) equation, which generalizes the standard Hasegawa-Mima (HM) equation, is a nonlinear equation describing the evolution of drift wave turbulence in curved magnetic fields. The GHM equation can be obtained…

Plasma Physics · Physics 2024-01-02 Naoki Sato , Michio Yamada

The possibility of fast dynamo action by collisionless kinetic Alfven Wave turbulence is demonstrated. The irreversibility necessary to lock in the generated field is provided by electron Landau damping, so the induced electric field does…

Astrophysics · Physics 2009-11-06 I. Gruzinov , A. Das , P. H. Diamond

We investigate the existence of envelope soliton solutions in collisionless quantum plasmas, using the quantum-corrected Zakharov equations in the kinetic case, which describes the interaction between high frequency Langmuir waves and low…

Plasma Physics · Physics 2013-09-11 F. Sayed , S. V. Vladimirov , Yu. Tyshetskiy , O. Ishihara

We investigate the drift wave -- zonal flow dynamics in a shearless slab geometry with the new flux-balanced Hasegawa-Wakatani model. As in previous Hasegawa-Wakatani models, we observe a sharp transition from a turbulence dominated regime…

Plasma Physics · Physics 2019-09-04 Di Qi , Andrew J. Majda , Antoine J. Cerfon

The interaction of localised solitary waves with large-scale, time-varying dispersive mean flows subject to nonconvex flux is studied in the framework of the modified Korteweg-de Vries (mKdV) equation, a canonical model for nonlinear…

Pattern Formation and Solitons · Physics 2021-11-01 Kiera van der Sande , Gennady A. El , Mark A. Hoefer

The collisional drift wave instability in a straight magnetic field configuration is studied within a full-F gyro-fluid model, which relaxes the Oberbeck-Boussinesq (OB) approximation. Accordingly, we focus our study on steep background…

Plasma Physics · Physics 2019-05-22 Markus Held , Matthias Wiesenberger , Alexander Kendl

We use the spectral theory of soliton gas for the one-dimensional focusing nonlinear Schr\"odinger equation (fNLSE) to describe the statistically stationary and spatially homogeneous integrable turbulence emerging at large times from the…

Pattern Formation and Solitons · Physics 2024-11-12 D. S. Agafontsev , T. Congy , G. A. El , S. Randoux , G. Roberti , P. Suret

We study the amplitude modulation of low-frequency, long-wavelength electrostatic drift-wave envelopes in a nonuniform quantum magnetoplasma consisting of cold ions and degenerate electrons. The effects of tunneling associated with the…

Plasma Physics · Physics 2014-04-21 A. P. Misra

The work presented here focuses on the role of zonal flows in the self-sustenance of gravito-turbulence in accretion discs. The numerical analysis is conducted using a bespoke pseudo-spectral code in fully compressible, non-linear…

Solar and Stellar Astrophysics · Physics 2019-11-01 Riccardo Vanon

We consider the problem of existence and stability of solitary traveling waves for the one dimensional discrete non linear Schroedinger equation (DNLS) with cubic nonlinearity, near the continuous limit.We construct a family of solutions…

Numerical Analysis · Mathematics 2018-05-10 Joackim Bernier , Erwan Faou