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We study existence of helical solitons in the vector modified Korteweg-de Vries (mKdV) equations, one of which is integrable, whereas another one is non-integrable. The latter one describes nonlinear waves in various physical systems,…

流体动力学 · 物理学 2018-09-25 Dmitry E. Pelinovsky , Yury A. Stepanyants

We investigate the propagation of MHD waves in a homogenous, magnetized plasma in a weakly stratified atmosphere, representing hot coronal loops. In most of earlier studies a time-independent equilibrium is considered. Here we abandon this…

太阳与恒星天体物理 · 物理学 2015-05-20 R. Erdelyi , K. S. Al-Ghafri , R. J. Morton

The omnipresence of dust particulates in space and astrophysical plasmas has been attracting numerous researchers to study the collective excitation and propagation dynamics of different eigen-mode structures in diversifed astrocosmic…

等离子体物理 · 物理学 2022-11-16 Souvik Das , Ahmed Atteya , Pralay Kumar Karmakar

A nonlinear Schr\"{o}dinger equation (NLSE) has been derived by employing reductive perturbation method for investigating the modulational instability of dust-ion-acoustic waves (DIAWs) in a four-component plasma having stationary…

等离子体物理 · 物理学 2021-02-24 S. Banik , R. K. Shikha , A. A. Noman , N. A. Chowdhury , A. Mannan , T. S. Roy , A. A. Mamun

The theory of low-frequency (in comparison with the ion cyclotron frequency), long wavelength, electrostatic drift ion-acoustic waves (IAWs) is studied in a nonuniform rotating magnetoplasma with two temperature superthermal electrons. In…

等离子体物理 · 物理学 2022-03-14 A. Abdikian , M. Eghbali , A. P. Misra

We consider families of solitary waves in the Korteweg--de Vries (KdV) equation coupled with the linear Schr\"{o}dinger (LS) equation. This model has been used to describe interactions between long and short waves. To characterize families…

偏微分方程分析 · 数学 2026-03-31 James Hornick , Dmitry E. Pelinovsky

We provide conditions for existence of hyperbolic, unbounded periodic and elliptic solutions in terms of Weierstrass $\wp$ functions of both third and fifth-order KdV--BBM (Korteweg-de Vries--Benjamin, Bona \& Mahony) regularized long wave…

偏微分方程分析 · 数学 2017-11-09 Stefan C. Mancas , Ronald Adams

In this paper, we study the weakly-compressive high-frequency plasma waves which are superposed on a large-amplitude Alfv\'en wave in a multi-fluid plasma consisting of protons, electrons, and alpha particles. For these waves, the plasma…

等离子体物理 · 物理学 2012-01-16 Daniel Verscharen , Eckart Marsch

We study large-amplitude, very oblique Alfv\'en waves at low $\beta$, with small gradient length scales, comparable to the ion inertial scale $d_i$. Such waves have large density fluctuations, and slight dispersion from finite-frequency and…

等离子体物理 · 物理学 2023-11-10 Alfred Mallet

Separate spin evolution-quantum hydrodynamic (SSE-QHD) model is employed to address the nonlinear propagation of ion-acoustic wave (IAW) and spin electron-acoustic wave (SEAW) in a spin polarized electron-ion plasma. The analysis has been…

等离子体物理 · 物理学 2024-12-19 B. Sania , Z. Iqbal , Ch. Rozina , Hafeez ur Rehman , G. Abbas

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…

等离子体物理 · 物理学 2018-10-02 S. Jahan , A. Mannan , N. A. Chowdhury , A. A. Mamun

It is shown that a three-dimensional (3D) modified-kinetic Alfv\'en waves (m-KAWs) can propagate in the form of Alfv\'enic tornadoes characterized by plasma density whirls or magnetic flux ropes carrying orbital angular momentum (OAM). By…

等离子体物理 · 物理学 2012-09-04 P. K. Shukla

The Sagdeev potential technique has been used to investigate the existence and the polarity of dust ion acoustic solitary structures in an unmagnetized collisionless nonthermal dusty plasma consisting of negatively charged static dust…

等离子体物理 · 物理学 2015-07-19 Animesh Das , Anup Bandyopadhyay , K. P. Das

The dusty plasma system (containing nonthermally distributed inertialess electron species, warm inertial ion species, and positively charged stationary dust species) is considered. The basic features of subsonic and supersonic…

等离子体物理 · 物理学 2021-04-14 R. K. Shikha , M. M. Orani , A. A. Mamun

Propagation of localized waves in a Fermi-Dirac distributed super dense matter at the presence of strong external magnetic fields is studied using the reductive perturbation method. Previous works indicate that localized waves break down in…

高能天体物理现象 · 物理学 2015-06-30 Azam Ghaani , Kurosh Javidanyand , Mohsen Sarbishaei

We demonstrate the existence of complex solitary wave and periodic solutions of the Kortweg de-vries (KdV) and modified Kortweg de-Vries (mKdV) equations. The solutions of the KdV (mKdV) equation appear in complex-conjugate pairs and are…

数学物理 · 物理学 2024-03-07 Subhrajit Modak , Akhil P. Singh , P. K. Panigrahi

A rigorous theoretical investigation is made of arbitrary amplitude nucleus acoustic solitary waves (SWs) in a fully ionized multi-nucleus plasma system (consisting of thermally degenerate electron species and non-degenerate warm light as…

等离子体物理 · 物理学 2021-02-24 A. Mannan , S. Sultana , A. A. Mamun

The propagation of an electrostatic wave in a three-component e-p-I astrophysical quantum plasma in a rotating frame has been studied, taking into account the particle spin, Fermi pressure, and quantum Bohm potential. Spin polarization…

等离子体物理 · 物理学 2025-04-09 Atherv Saxena , Punit Kumar

We demonstrate the control of solitary wave dynamics of modified Kortweg-de Vries (MKdV) equation through the temporal variations of the distributed coefficients. This is explicated through exact cnoidal wave and localized soliton solutions…

可精确求解与可积系统 · 物理学 2009-11-11 Kallol Pradhan , Prasanta K. Panigrahi

We consider a low temperature plasma environment in the Low Earth Orbital (LEO) region in presence of charged space debris particles. The dynamics of (2+1) dimensional nonlinear dust ion acoustic waves with weak transverse perturbation,…

等离子体物理 · 物理学 2023-06-08 Siba Prasad Acharya , Abhik Mukherjee , Mylavarapu Sita Janaki