Perturbation theory for solitons of the Fokas-Lenells equation: Inverse scattering transform approach

VM Lashkin - Physical Review E, 2021 - APS
We present perturbation theory based on the inverse scattering transform method for
solitons described by an equation with the inverse linear dispersion law ω∼ 1/k, where ω is …

Three-dimensional vortex dipole solitons in self-gravitating systems

VM Lashkin, OK Cheremnykh, Z Ehsan, N Batool - Physical Review E, 2023 - APS
We derive the nonlinear equations governing the dynamics of three-dimensional (3D)
disturbances in a nonuniform rotating self-gravitating fluid under the assumption that the …

Fourth-order modon in a rotating self-gravitating fluid

VM Lashkin, OK Cheremnykh - Physics of Fluids, 2024 - pubs.aip.org
We present a two-dimensional nonlinear equation to govern the dynamics of disturbances in
a rotating self-gravitating fluid. The nonlinear term of the equation has the form of a Poisson …

[HTML][HTML] Analysis of coupled acoustic and drift modes leading to modons in Maxwellian and non-Maxwellian dusty plasma

Z Ehsan, N Batool, VM Lashkin - AIP Advances, 2025 - pubs.aip.org
Linear and nonlinear acoustic and drift waves in a confined inhomogeneous dusty plasma
are investigated here. We examine two distinct scenarios that correspond to slow and fast …

Stable three-dimensional Langmuir vortex soliton

VM Lashkin - Physics of Plasmas, 2020 - pubs.aip.org
We present a numerical solution in the form of a three-dimensional vortex soliton in
unmagnetized plasma in the model of the generalized Zakharov equations with saturating …

Coupling of acoustic and drift modes, harmonic modons in astrophysical dusty plasma and a new mode in the Comet Halley

Z Ehsan, N Batool, VM Lashkin - arXiv preprint arXiv:2202.08332, 2022 - arxiv.org
This manuscript, presents a theoretical study of the linear and nonlinear characteristics of
acoustic and drift waves in a bounded inhomogenious dusty plasma which has potential …