International Journal of Research and Scientific Innovation (IJRSI)
Investigation of Some Explicit Exact Solution of the Damped Forced KDV Burger Equation by Modified Exp(-φ(ξ))-Expansion Method
Published October 24, 2025 • Vol. 12, Issue 9, pp. 4688–4694Open Access
DOI: 10.51244/IJRSI.2025.1208004125
Abstract
This work presented the some explicit exact solution of the damped forced KdV-Burger equation with variable coefficients. We have successfully applied the exp(-φ(ξ))-expansion method with modification to obtain the generalized explicit exact solution of the damped forced KdV-Burger’s equation. The obtained solution contains the hyperbolic function and trigonometric function. The dynamic behavior of the solution is demonstrated graphically in three dimensional and two dimensional space.
Keywords: Exp(-φ(ξ))-expansion method, variable of separation, KdV-Burger’s equation,forcing term, variable coefficients etc.
| Journal | International Journal of Research and Scientific Innovation (IJRSI) |
|---|---|
| ISSN | 2321-2705 |
| Volume / Issue | Volume 12, Issue 9 |
| Pages | 4688–4694 |
| Publication date | October 24, 2025 |
| DOI | 10.51244/IJRSI.2025.1208004125 |
| Publisher | RSIS International |
| License | Open Access |
How to cite this article
Ranjan Barman (2025). Investigation of Some Explicit Exact Solution of the Damped Forced KDV Burger Equation by Modified Exp(-φ(ξ))-Expansion Method. International Journal of Research and Scientific Innovation (IJRSI), 12(9), 4688-4694. https://doi.org/10.51244/IJRSI.2025.1208004125
BibTeX
@article{Ranjan2025,
title = {Investigation of Some Explicit Exact Solution of the Damped Forced KDV Burger Equation by Modified Exp(-φ(ξ))-Expansion Method},
author = {Ranjan Barman},
journal = {International Journal of Research and Scientific Innovation (IJRSI)},
volume = {12},
number = {9},
pages = {4688--4694},
year = {2025},
doi = {10.51244/IJRSI.2025.1208004125},
publisher = {RSIS International}
}