3 papers
math-ph2024
Construction of a new (3 + 1)-dimensional KdV equation and its closed-form solutions with solitary wave behaviour and conserved vectors
Nardjess Benoudina, Chaudry Massood Khalique, Ji Lin
This paper discusses the construction of a new -dimensional Korteweg-de Vries (KdV) equation. By employing the KdV's recursion operator, we extract two equations, and with e…
math-ph2024
Finite volume simulation of a semi-linear Neumann problem (Keller-Segel model) on rectangular domains
Nardjess Benoudina, Fatima Zohra Boutaf, Nasserdine Kechkar
In this study, the finite volume method is implemented for solving the problem of the semilinear equation: with a homogeneous Neumann boundary condition. Th…
nlin.SI2023
New (2+1)-dimensional Burgers equation and its solitary wave solutions via the Lie symmetry method
Nardjess Benoudina, Nassim Bessaad
In this paper, the new (2+1)-dimensional Burgers equation has been derived using the Burgers equation' recursion operator as follows \begin{equation*} u_{xt}+\left(u_{t}+uu_{x}-νu_…