Far East Journal of Applied Mathematics

The Far East Journal of Applied Mathematics publishes original research papers and survey articles in applied mathematics, covering topics such as nonlinear dynamics, approximation theory, and mathematical modeling. It encourages papers focusing on algorithm development.

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ANALYTICAL AND SINGULAR EXACT SOLUTIONS OF THE (3 + 1)-DIMENSIONAL MODIFIED KORTEWEG-DE VRIES-ZAKHAROV-KUZNETSOV EQUATION

Authors

  • Dahe Feng
  • Jibin Li
  • Jianjun Jiao

Keywords:

improved sub-equation method, mKdV-ZK equation, bifurcation, soliton solution, periodic solution

DOI:

https://doi.org/10.17654/0972096024002

Abstract

The improved sub-equation method is employed to construct exact solutions of (3 + 1)-dimensional modified Korteweg-de Vries-Zakharov-Kuznetsov equation. By studying the dynamical behavior and exact solutions of the sub-equation, we obtain more types of exact solutions such as analytical bright and dark solitons, analytical kink or anti-kink solitons, analytical and singular periodic waves. In addition, some selected solutions are visualized through 2D and 3D simulations in order to obtain the best physical characterization of the obtained results. This method is very effective and can be used to study other nonlinear problems.

Received: December 14, 2023
Accepted: February 2, 2024

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Published

2024-03-06

Issue

Vol. 117 No. 1 (2024)

Section

Articles

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How to Cite

ANALYTICAL AND SINGULAR EXACT SOLUTIONS OF THE (3 + 1)-DIMENSIONAL MODIFIED KORTEWEG-DE VRIES-ZAKHAROV-KUZNETSOV EQUATION. (2024). Far East Journal of Applied Mathematics, 117(1), 19-47. https://doi.org/10.17654/0972096024002

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