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Volume 6, Issue 1
Exact Solutions for Nonlinear PDEs with the Variable Coefficients in Mathematical Physics

Khaled A. Gepreel

J. Info. Comput. Sci. , 6 (2011), pp. 003-014.

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  • 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.
  • Keywords

A generalized ( )- expansion method with the variable coefficients, The generalized time- dependent variable coefficients KdV- mKdV equation, The coupled modified KdV equations with non- uniformity terms, The Jacobi elliptic functions.

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COPYRIGHT: © Global Science Press

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@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} }
TY - JOUR T1 - Exact Solutions for Nonlinear PDEs with the Variable Coefficients in Mathematical Physics AU - Khaled A. Gepreel JO - Journal of Information and Computing Science VL - 1 SP - 003 EP - 014 PY - 2024 DA - 2024/01 SN - 6 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22689.html KW - A generalized ( )- expansion method with the variable coefficients, The generalized time- dependent variable coefficients KdV- mKdV equation, The coupled modified KdV equations with non- uniformity terms, The Jacobi elliptic functions. AB - 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.
Khaled A. Gepreel. (2024). Exact Solutions for Nonlinear PDEs with the Variable Coefficients in Mathematical Physics. Journal of Information and Computing Science. 6 (1). 003-014. doi:
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