Analysis of the far-field behavior of waves in magnetogasdynamic

Anoop Kumar; Aziz Khan; Rajan Arora; Thabet Abdeljawad; K. Karthikeyan; Mohamed Houas; Anoop Kumar; Aziz Khan; Rajan Arora; Thabet Abdeljawad; K. Karthikeyan; Mohamed Houas

doi:10.3934/math.2023369

AIMS Mathematics

2023, Volume 8, Issue 3: 7329-7345. doi: 10.3934/math.2023369

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Analysis of the far-field behavior of waves in magnetogasdynamic

1.
Department of Mathematics and Statistics, School of Basic Sciences, Central University of Punjab, Bathinda-151401, India
2.
Department of Mathematics and Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi Arabia
3.
Department of Applied Science and Engineering, Indian Institute of Technology Roorkee, India
4.
Department of Medical Research, China Medical University, Taichung, 40402, Taiwan
5.
Department of Mathematics, Kyung Hee University, 26 Kyungheedae-ro, Dongdaemun-gu, Seoul 02447, Korea
6.
Department of Mathematics, KPR Institute of Engineering and Technology, Coimbatore-641 407, Tamil Nadu, India
7.
Department of Mathematics, Laboratory FIMA, UDBKM, Khemis Miliana University, Ain Defla, Khemis Miliana, Algeria

Received: 10 October 2022 Revised: 14 December 2022 Accepted: 23 December 2022 Published: 13 January 2023
MSC : 35L02, 37L05, 74G10, 74J30

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.
- asymptotic method,
- magnetogasdynamics,
- evolution equation,
- non-linear waves,
- homotopy analysis method
Citation: Anoop Kumar, Aziz Khan, Rajan Arora, Thabet Abdeljawad, K. Karthikeyan, Mohamed Houas. Analysis of the far-field behavior of waves in magnetogasdynamic[J]. AIMS Mathematics, 2023, 8(3): 7329-7345. doi: 10.3934/math.2023369

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Abstract

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.

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