Symmetries and Novel Exact Solutions for \( (2+1) \)-D QZK Equation via Lie-Symmetry and Kudryashov-Auxiliary Method

Authors

  • Ahmed Gaber Department of Mathematics, College of Science Al-ZulÖ, Majmaah University, Majmaah 11952, Saudi Arabia
  • Tawfik M. Younis Department of Business Administration, College of Business Administration, Majmaah University, Majmaah 11952, Saudi Arabia
  • Mona F. Alharbi Department of Business Administration, College of Administrative Sciences and Humanities, Mustaqbal University, Buraydah, Saudi Arabia

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i3.6030

Keywords:

Lie-Symmetry method, Quantum Zakharov-Kuznetsov, Kudryashov-Auxaliry Method, Wave solutions

Abstract

In this paper, the (2+1)-D quantum Zakharov-Kuznetsov (QZK) equation that describes how nonlinear ion-acoustic waves diffuse in magnetized plasma is studied. Firstly, The governing equation was transformed into a number of ordinary differential equations using symmetry analysis. After that, We used Kudryashov-Auxaliry Method (KAM) to develop a new kind of accurate answers for the QZK equation. The discovered solutions included a number of arbitrary constants that improved their dynamic characteristics. The resulting solutions represent solitary wave, single wave, and multisolitons solutions and include hyperbolic and trigonometric functions.

Author Biography

  • Tawfik M. Younis, Department of Business Administration, College of Business Administration, Majmaah University, Majmaah 11952, Saudi Arabia

    Department of Operations Research Faculty of Graduate
    Studies of Statistical Research, Cairo University, Egypt

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Published

2025-08-01

Issue

Vol. 18 No. 3: (July 2025)

Section

Mathematical Physics

License

Copyright (c) 2025 Ahmed Gaber, Tawfik M. Younis, Mona F. Alharbi

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How to Cite

Symmetries and Novel Exact Solutions for \( (2+1) \)-D QZK Equation via Lie-Symmetry and Kudryashov-Auxiliary Method. (2025). European Journal of Pure and Applied Mathematics, 18(3), 6030. https://doi.org/10.29020/nybg.ejpam.v18i3.6030