Study of solitary and kink waves, stability analysis, and fractional effect in magnetized plasma

Aysha Bibi, Muhammad Shakeel, Dilawar Khan, Sajjad Hussain, Dean Chou

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)

Abstract

The (3 + 1)-dimensional fractional modified Zakharov Kuznetsov (mZK) equation is one of the nonlinear models to indicate the impact of magnetic fields on weak ion-acoustic waves in plasma; made up of cool and hot electrons. The primary goal of the present study is to use the (m+[Formula presented])-expansion technique to seek the solutions of mZK equation. The solutions are gained in the form of kink, dark, singular periodic and W-type soliton solutions. The influence of the fractional parameter on waveforms has also been examined by representing 2D and 3D graphs for distinct values of fractional-order β. Moreover, we utilize Hamiltonian system properties to confirm the stability of the solution. The (m+[Formula presented])-expansion technique can also be used to examine the nonlinear evolution models being developed in various scientific and technological fields, such as mathematical physics and plasma physics. The soliton solutions attained by using the above technique have not been derived yet.

Original languageEnglish
Article number106166
JournalResults in Physics
Volume44
DOIs
Publication statusPublished - 2023 Jan

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy

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