THE HYPERBOLIC FUNCTION METHOD FOR
THE FRACTIONAL (3+1)-DIMENSIONAL GENERALIZED
KORTEWEG-DE-VEIES-ZAKHAROV-KUZNETSOV EQUATION
IN PLASMA PHYSICS
Montri Torvattanabun1, Jakkrit Boonprasop2,
Aphinan Phunphon3, Siwarak Promraksa1
1 Department of Mathematics
Faculty of Science and Technology
Loei Rajabhat University
Loei-42000, THAILAND
2 Wang Sam Mo Branch
Muangthai Capital Public Company
Udon-Thani 41280, THAILAND
3 Department of Mathematics
Ban Nong Ya Rang Ka School
Udon-Thani 41280, THAILAND

Abstract

The fractional (3+1)-dimensional generalized Korteweg–de-Vries– Zakharov–Kuznetsov equation (gKdV-ZKe) is one of the nonlinear models to indicate the impact of magnetic fields on weak ion-acoustic wave in plasma comprised of cool and hot electrons. We have applied the hyperbolic function method to explore the diversity of wave structures. We extract the solitons in form of bright solitons, dark solitons, bright-dark combo solitons and other solitons. Moreover, for the physical illustration, some of the obtained solutions are represented graphically.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 36
Issue: 5
Year: 2023

DOI: 10.12732/ijam.v36i5.3

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