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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,…

Fluid Dynamics · Physics 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…

Solar and Stellar Astrophysics · Physics 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…

Plasma Physics · Physics 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…

Plasma Physics · Physics 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…

Plasma Physics · Physics 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…

Analysis of PDEs · Mathematics 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…

Analysis of PDEs · Mathematics 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…

Plasma Physics · Physics 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…

Plasma Physics · Physics 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…

Plasma Physics · Physics 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…

Plasma Physics · Physics 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…

Plasma Physics · Physics 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…

Plasma Physics · Physics 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…

Plasma Physics · Physics 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…

High Energy Astrophysical Phenomena · Physics 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…

Mathematical Physics · Physics 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…

Plasma Physics · Physics 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…

Plasma Physics · Physics 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…

Exactly Solvable and Integrable Systems · Physics 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,…

Plasma Physics · Physics 2023-06-08 Siba Prasad Acharya , Abhik Mukherjee , Mylavarapu Sita Janaki
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