@Article{JICS-6-003, author = {Khaled A. Gepreel}, title = {Exact Solutions for Nonlinear PDEs with the Variable Coefficients in Mathematical Physics}, journal = {Journal of Information and Computing Science}, year = {2024}, volume = {6}, number = {1}, pages = {003--014}, abstract = { In this article, we construct the exact solutions for nonlinear partial differential equations with the variable coefficients in the mathematical physics via the generalized time- dependent variable coefficients KdV-mKdV equation and the coupled modified KdV equations with non-uniformity terms by ) - expansion method with the variable coefficients, where G satisfies the using a generalized ( Jacobi elliptic equation. Many of the exact solutions in terms of Jacobi elliptic functions are obtained. The proposed method is reliable and effective and gives more new exact solutions. }, issn = {1746-7659}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22689.html} }