Analysis of the far-field behavior of waves in magnetogasdynamic

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'...

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Bibliographic Details
Published inAIMS mathematics Vol. 8; no. 3; pp. 7329 - 7345
Main Authors Kumar, Anoop, Khan, Aziz, Arora, Rajan, Abdeljawad, Thabet, Karthikeyan, K., Houas, Mohamed
Format Journal Article
LanguageEnglish
Published AIMS Press 2023
Subjects
asymptotic method
evolution equation
homotopy analysis method
magnetogasdynamics
non-linear waves
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Summary: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.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2023369