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September 10, 2026International Journal of Theoretical PhysicsOpen Access

Conserved Vectors and Analytical Solutions of the (2+1)-Dimensional Modified Zakharov-Kuznetsov Model Arising in Electrical Engineering

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Authors

IMIsaac Keoagile MohapiLMLetlhogonolo Daddy MolelekiMLMduduzi Yolane Thabo Lephoko

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Overview

Mathematical analysis demonstrates novel analytical wave solutions and conserved vectors in magnetized plasma models, highlighting structural dynamics for electrical engineering applications.

Key Points

  • Derive novel analytical solutions and conserved vectors for the (2+1)-dimensional modified Zakharov-Kuznetsov equation governing ion-acoustic waves in magnetized plasma.
  • Constructed an optimal system of one-dimensional Lie subalgebras to execute similarity reductions and derive group-invariant solutions.
  • Applied ansatz-based mathematical techniques to resolve the reduced differential equations into closed-form analytical solutions.
  • Computed conserved vectors via the multiplier method and verified all analytical formulations symbolically using Wolfram Mathematica.
  • Obtained multiple classes of exact analytical solutions displaying varied wave profiles illustrated via two-dimensional, three-dimensional, and density plots.
  • Derived the complete set of conservation laws and conserved vectors for the governing nonlinear model under admissible parameter values.

Cite This Study

Mohapi et al. (2026) studied this question.

synapsesocial.com/papers/6aa27c0f58559d80afc75b01https://doi.org/10.1007/s10773-026-06462-7
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