Analysis of the far-field behavior of waves in magnetogasdynamic

AIMS Mathematics

article

Anoop Kumar¹  Aziz Khan²  Rajan Arora³  Thabet Abdeljawad²  K. Karthikeyan⁶  Mohamed Houas⁷ 

[1] Department of Mathematics and Statistics, School of Basic Sciences, Central University of Punjab;Department of Mathematics and Sciences, Prince Sultan University;Department of Applied Science and Engineering, Indian Institute of Technology Roorkee;Department of Medical Research, China Medical University;Department of Mathematics, Kyung Hee University;Department of Mathematics, KPR Institute of Engineering and Technology;Department of Mathematics, Laboratory FIMA, UDBKM, Khemis Miliana University

关键词: asymptotic method;    magnetogasdynamics;    evolution equation;    non-linear waves;    homotopy analysis method;   

DOI  :  10.3934/math.2023369

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

Herein the research objects, a hyperbolic quasi-linear system of governing equations was solved by an asymptotic method (far-field technique) with explaining a 1-D unsteady planar and cylindrically symmetric flows in magnetogasdynamics. The evolution equation was obtained by generalized Burger's equation. A relatively accurate systematic result of the evolution equation was gotten by us through the analytic homotopy analysis method (HAM). We are allowed by the method to determine the various effects of nonlinearity and geometrical spreading. One of the fundamental problems of conservation laws are represented by the non-linear waves from preliminary data.

【 授权许可】

CC BY