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Volume 10, Issue 1
Modified simple equation method to the nonlinear Hirota Satsuma KdV system

E.M.E.Zayed , Khaled A. Gepreel and M. M. El-Horbaty

J. Info. Comput. Sci. , 10 (2015), pp. 054-062.

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  • Abstract
In this article, we use the modified simple equation method to construct the exact traveling wave solutions for some nonlinear PDE's in mathematical physics namely the coupled Hirota – Satsuma KdV equations and the generalized coupled Hirota – Satsuma KdV equations. Based on this formulation, solitary solutions can be easily obtained by using the proposed method. Some known solutions obtained by the tanh- coth method are recovered as special cases. The proposed method is direct and more powerful than the other methods.
  • Keywords

The modified simple equation method , Exact solutions, Nonlinear evaluation equations, The nonlinear Hirota Satsuma equations.

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COPYRIGHT: © Global Science Press

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@Article{JICS-10-054, author = {E.M.E.Zayed , Khaled A. Gepreel and M. M. El-Horbaty}, title = {Modified simple equation method to the nonlinear Hirota Satsuma KdV system}, journal = {Journal of Information and Computing Science}, year = {2024}, volume = {10}, number = {1}, pages = {054--062}, abstract = {In this article, we use the modified simple equation method to construct the exact traveling wave solutions for some nonlinear PDE's in mathematical physics namely the coupled Hirota – Satsuma KdV equations and the generalized coupled Hirota – Satsuma KdV equations. Based on this formulation, solitary solutions can be easily obtained by using the proposed method. Some known solutions obtained by the tanh- coth method are recovered as special cases. The proposed method is direct and more powerful than the other methods. }, issn = {1746-7659}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22565.html} }
TY - JOUR T1 - Modified simple equation method to the nonlinear Hirota Satsuma KdV system AU - E.M.E.Zayed , Khaled A. Gepreel and M. M. El-Horbaty JO - Journal of Information and Computing Science VL - 1 SP - 054 EP - 062 PY - 2024 DA - 2024/01 SN - 10 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22565.html KW - The modified simple equation method , Exact solutions, Nonlinear evaluation equations, The nonlinear Hirota Satsuma equations. AB - In this article, we use the modified simple equation method to construct the exact traveling wave solutions for some nonlinear PDE's in mathematical physics namely the coupled Hirota – Satsuma KdV equations and the generalized coupled Hirota – Satsuma KdV equations. Based on this formulation, solitary solutions can be easily obtained by using the proposed method. Some known solutions obtained by the tanh- coth method are recovered as special cases. The proposed method is direct and more powerful than the other methods.
E.M.E.Zayed , Khaled A. Gepreel and M. M. El-Horbaty. (2024). Modified simple equation method to the nonlinear Hirota Satsuma KdV system. Journal of Information and Computing Science. 10 (1). 054-062. doi:
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