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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…