The Functional Expansion Approach for Solving NPDEs as a Generalization of the Kudryashov and G/G Methods

C Ionescu, CN Babalic, R Constantinescu, R Efrem - Symmetry, 2022 - mdpi.com
This paper presents the functional expansion approach as a generalized method for finding
traveling wave solutions of various nonlinear partial differential equations. The approach …

Solving Nonlinear Second-Order Differential Equations through the Attached Flow Method

C Ionescu, R Constantinescu - Mathematics, 2022 - mdpi.com
The paper considers a simple and well-known method for reducing the differentiability order
of an ordinary differential equation, defining the first derivative as a function that will become …

Effects of intermittency via non-gaussianity on turbulent transport in magnetized plasmas

DI Palade, L Pomârjanschi - Journal of Plasma Physics, 2022 - cambridge.org
Effects of intermittency via non-Gaussianity on turbulent transport in magnetized plasmas Page 1
J. Plasma Phys. (2022), vol. 88, 905880202 © The Author(s), 2022. Published by Cambridge …

Attached Flows for Reaction–Diffusion Processes Described by a Generalized Dodd–Bullough–Mikhailov Equation

C Ionescu, I Petrisor - Symmetry, 2024 - mdpi.com
This paper uses the attached flow method for solving nonlinear second-order differential
equations of the reaction–diffusion type. The key steps of the method consist of the …

Optimal Choice of the Auxiliary Equation for Finding Symmetric Solutions of Reaction–Diffusion Equations

C Ionescu, R Constantinescu - Symmetry, 2024 - mdpi.com
This paper addresses an important method for finding traveling wave solutions of nonlinear
partial differential equations, solutions that correspond to a specific symmetry reduction of …

Diffusion of stochastic magnetic field lines with average poloidal magnetic component

M Negrea - Plasma Physics and Controlled Fusion, 2019 - iopscience.iop.org
We study the diffusion of stochastic isotropic and anisotropic magnetic field lines in
turbulence with average poloidal magnetic field component. In the current work we employ …

Hidden drifts in turbulence

M Vlad, F Spineanu - Europhysics Letters, 2019 - iopscience.iop.org
The paper defines and discusses the concept of hidden drifts in two-dimensional turbulence.
These are ordered components of the trajectories that average to zero and do not produce …

Effects of the mean field gradients on magnetic field line random walk

M Vlad - The Astrophysical Journal, 2018 - new.iopscience.iop.org
Effects of the Mean Field Gradients on Magnetic Field Line Random Walk - IOPscience Skip to
content IOP Science home Accessibility Help Search all IOPscience content Search Article …

Diffusion of ions in an electrostatic stochastic field and a space-dependent unperturbed magnetic field

M Negrea - Plasma Science and Technology, 2019 - iopscience.iop.org
We calculate the diffusion coefficients for ions moving in a prescribed electromagnetic field.
The field is considered to be a superposition of an electrostatic stochastic field and a space …

[PDF][PDF] The Functional Expansion Approach for Solving NPDEs as a Generalization of the KUDRYASHOV and G′/G Methods. Symmetry 2022, 14, 827

C Ionescu, CN Babalic, R Constantinescu, R Efrem - 2022 - academia.edu
This paper presents the functional expansion approach as a generalized method for finding
traveling wave solutions of various nonlinear partial differential equations. The approach …