Exact Solutions for the Modified Burgers Equation with Additional Time-dependent Variable Coefficient

Authors

  • Bazar Babajanov
  • Fakhriddin Abdikarimov Khorezm Mamun Academy
  • Sarbinaz Bazarbaeva

DOI:

https://doi.org/10.29020/nybg.ejpam.v17i2.5064

Keywords:

modified Burgers equation, solitary wave solutions, kinematics viscosity, variable coefficient, velocity, functional variable method, viscosity parameter, ordinary differential equation, continuous differentiable functions

Abstract

In this article, we investigated new travelling wave solutions for the modified Burgers equation with additional time-dependent variable coefficient via the functional variable method. The performance of this method is reliable and effective and gives the exact solitary wave solutions. All solutions of this equation have been examined and three dimensional graphics of the obtained solutions have been drawn by using the Matlab program. The exact solutions have its great importance to reveal the internal mechanism of the physical phenomena. This method presents a wider applicability for handling nonlinear wave equations.

Downloads

Published

2024-04-30

Issue

Vol. 17 No. 2: (April 2024)

Section

Nonlinear Analysis

License

Copyright (c) 2024 European Journal of Pure and Applied Mathematics

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Upon acceptance of an article by the European Journal of Pure and Applied Mathematics, the author(s) retain the copyright to the article. However, by submitting your work, you agree that the article will be published under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This license allows others to copy, distribute, and adapt your work, provided proper attribution is given to the original author(s) and source. However, the work cannot be used for commercial purposes.

By agreeing to this statement, you acknowledge that:

  • You retain full copyright over your work.
  • The European Journal of Pure and Applied Mathematics will publish your work under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
  • This license allows others to use and share your work for non-commercial purposes, provided they give appropriate credit to the original author(s) and source.

How to Cite

Exact Solutions for the Modified Burgers Equation with Additional Time-dependent Variable Coefficient. (2024). European Journal of Pure and Applied Mathematics, 17(2), 945-955. https://doi.org/10.29020/nybg.ejpam.v17i2.5064