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 …

Wave Solutions for a (2+ 1)-Dimensional Burgers–KdV Equation with Variable Coefficients via the Functional Expansion Method

R Cimpoiasu, R Constantinescu - Symmetry, 2024 - mdpi.com
A (2+ 1)-dimensional fourth order Burgers–KdV equation with variable coefficients (vcBKdV)
is studied here and interesting wave-type solutions with variable amplitudes and velocities …

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 …

The generalized semidiscrete cmKdV system and the periodic reduction

CN Babalic - ITM Web of Conferences, 2022 - itm-conferences.org
The complete integrability of a multicomponent differentialdifference complex mKdV system
with branched dispersion relation is proven. We use two approaches for this purpose. The …

THE sp (3) BRST HAMILTONIAN FORMALISM FOR THE YANG–MILLS FIELDS

C Ionescu - Modern Physics Letters A, 2008 - World Scientific
The paper presents in all its nontrivial details the sp (3) BRST Hamiltonian formalism. It is
based on structuring the extended phase space on many levels. In this picture, the standard …

[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 …

[PDF][PDF] Waves and bifurcations in describing the prolifera-tion of the brain tumors

R Constantinescu, AM Pauna, MM Poenaru - 2022 - pos.sissa.it
The paper reviews the mathematical models proposed for describing the proliferation of
gliomas, the most common brain tumors, with strong dynamic invasiveness and proliferative …

[PDF][PDF] Chaos and Stabilizing Mechanisms for Yang-Mills Mechanical Models

R Constantinescu, C Ionescu - Physics AUC - s3.cern.ch
The paper intends to present how gauge field theories in mechanical context can be
assimilated with problems of controlling the chaotic evolution of nonlinear dynamical …