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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-ph2015★ 19 cited
Conservation laws of coupled semilinear wave equations
Stephen C. Anco, Chaudry Masood Khalique
A complete classification of all low-order conservation laws is carried out for a system of coupled semilinear wave equations which is a natural two-component generalization of the…