Closed-form solutions and conservation laws of a generalized Hirota–Satsuma coupled KdV system of fluid mechanics

Autor: Khalique Chaudry Masood
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Open Physics, Vol 19, Iss 1, Pp 18-25 (2021)
Druh dokumentu: article
ISSN: 2391-5471
DOI: 10.1515/phys-2021-0002
Popis: In this article, a generalized Hirota–Satsuma coupled Korteweg–de Vries (KdV) system is investigated from the group standpoint. This system represents an interplay of long waves with distinct dispersion correlations. Using Lie’s theory several symmetry reductions are performed and the system is reduced to systems of non-linear ordinary differential equations (NLODEs). Subsequently, the simplest equation method is invoked to find exact solutions of the NLODE systems, which then provides the solitary wave solutions for the system under discussion. Finally, we construct conservation laws of generalized Hirota–Satsuma coupled KdV system with the aid of general multiplier approach.
Databáze: Directory of Open Access Journals