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Some traveling wave solutions to the generalized (3+1)-dimensional Korteweg-de Vries-Zakharov-Kuznetsov equation in plasma physics
  • Kalim U. Tariq,
  • Rizwan Javed
Kalim U. Tariq
Mirpur University of Science and Technology

Corresponding Author:kalimulhaq@hotmail.com

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Rizwan Javed
Mirpur University of Science and Technology
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Abstract

In this article, the generalized (3+1)-dimensional Korteweg-de Vries-Zakharov-Kuznetsov equation is investigated, which describes the influence of magnetic fields on weak ion-acoustic waves in plasma made up of cool and hot electrons and may be regarded as a nonlinear complicated physical model. To find out some new traveling waves solutions and other exact solutions, the improved $F$-expansion approach and the $\exp(-\phi (\zeta))$-expansion approach is applied to above mentioned nonlinear higher dimensional model. Several solutions have been found, including dark soliton, periodic type solitons, bell shaped solitons, single bell shaped solitons. We also show a graphical representation of a number of exact solutions to the equation, together with a description of their behaviour. The proposed techniques can also be used to solve a range of nonlinear evolution problems in mathematical physics and plasma physics.
10 Apr 2022Submitted to Mathematical Methods in the Applied Sciences
11 Apr 2022Submission Checks Completed
11 Apr 2022Assigned to Editor
09 May 2022Reviewer(s) Assigned
30 Jun 2022Review(s) Completed, Editorial Evaluation Pending
04 Jul 2022Editorial Decision: Revise Minor
11 Jul 20221st Revision Received
12 Jul 2022Submission Checks Completed
12 Jul 2022Assigned to Editor
14 Jul 2022Review(s) Completed, Editorial Evaluation Pending
15 Jul 2022Editorial Decision: Accept
07 Aug 2022Published in Mathematical Methods in the Applied Sciences. 10.1002/mma.8596