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Volume 11, Issue 1
Extended rational (G’/ G)expansion method for nonlinear partial differential equations

Khaled A. Gpreel , Taher A. Nofal and Khulood O. Alweail

J. Info. Comput. Sci. , 11 (2016), pp. 030-057.

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  • Abstract
In this article, we use the extended rational ( )- expansion function method to construct exact solutions for some nonlinear partial differential equations in mathematical physics via the (2+1)- dimensional Wu-Zhang equations, the KdV equation, and generalized Hirota–Satsuma coupled KdV equation in terms of the hyperbolic functions, trigonometric functions and rational function, when satisfies a nonlinear second order ordinary differential equation. When the parameters are taken some special values, the solitary wave are derived from the traveling waves. This method is reliable, simple and gives many new exact solutions.
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@Article{JICS-11-030, author = {Khaled A. Gpreel , Taher A. Nofal and Khulood O. Alweail}, title = {Extended rational (G’/ G)expansion method for nonlinear partial differential equations}, journal = {Journal of Information and Computing Science}, year = {2024}, volume = {11}, number = {1}, pages = {030--057}, abstract = {In this article, we use the extended rational ( )- expansion function method to construct exact solutions for some nonlinear partial differential equations in mathematical physics via the (2+1)- dimensional Wu-Zhang equations, the KdV equation, and generalized Hirota–Satsuma coupled KdV equation in terms of the hyperbolic functions, trigonometric functions and rational function, when satisfies a nonlinear second order ordinary differential equation. When the parameters are taken some special values, the solitary wave are derived from the traveling waves. This method is reliable, simple and gives many new exact solutions. }, issn = {1746-7659}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22527.html} }
TY - JOUR T1 - Extended rational (G’/ G)expansion method for nonlinear partial differential equations AU - Khaled A. Gpreel , Taher A. Nofal and Khulood O. Alweail JO - Journal of Information and Computing Science VL - 1 SP - 030 EP - 057 PY - 2024 DA - 2024/01 SN - 11 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22527.html KW - The extended rational( )- expansion function method, Traveling wave solutions, The (2+1)-dimensional Wu-Zhang equations, The KdV equation, The generalized Hirota–Satsuma coupled KdV equation. AB - In this article, we use the extended rational ( )- expansion function method to construct exact solutions for some nonlinear partial differential equations in mathematical physics via the (2+1)- dimensional Wu-Zhang equations, the KdV equation, and generalized Hirota–Satsuma coupled KdV equation in terms of the hyperbolic functions, trigonometric functions and rational function, when satisfies a nonlinear second order ordinary differential equation. When the parameters are taken some special values, the solitary wave are derived from the traveling waves. This method is reliable, simple and gives many new exact solutions.
Khaled A. Gpreel , Taher A. Nofal and Khulood O. Alweail. (2024). Extended rational (G’/ G)expansion method for nonlinear partial differential equations. Journal of Information and Computing Science. 11 (1). 030-057. doi:
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