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Volume 8, Issue 1
A modified (G'/G)- expansion method and its application for finding hyperbolic, trigonometric and rational function solutions of nonlinear evolution equations

Elsayed M. E. Zayed

J. Info. Comput. Sci. , 8 (2013), pp. 003-012.

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  • Abstract
A modified (G'/G)- expansion method is proposed to construct hyperbolic, trigonometric and rational function solutions of nonlinear evolution equations which can be thought of as the generalization of the (G'/G)- expansion method given recently by M.Wang et al . To illustrate the validity and advantages of this method, the (1+1)-dimensional Hirota-Ramani equation and the (2+1)-dimensional Breaking soliton equation are considered and more general traveling wave solutions are obtained. It is shown that the proposed method provides a more general powerful mathematical tool for solving nonlinear evolution equations in mathematical physics.
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@Article{JICS-8-003, author = {Elsayed M. E. Zayed}, title = {A modified (G'/G)- expansion method and its application for finding hyperbolic, trigonometric and rational function solutions of nonlinear evolution equations}, journal = {Journal of Information and Computing Science}, year = {2024}, volume = {8}, number = {1}, pages = {003--012}, abstract = { A modified (G'/G)- expansion method is proposed to construct hyperbolic, trigonometric and rational function solutions of nonlinear evolution equations which can be thought of as the generalization of the (G'/G)- expansion method given recently by M.Wang et al . To illustrate the validity and advantages of this method, the (1+1)-dimensional Hirota-Ramani equation and the (2+1)-dimensional Breaking soliton equation are considered and more general traveling wave solutions are obtained. It is shown that the proposed method provides a more general powerful mathematical tool for solving nonlinear evolution equations in mathematical physics. }, issn = {1746-7659}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22624.html} }
TY - JOUR T1 - A modified (G'/G)- expansion method and its application for finding hyperbolic, trigonometric and rational function solutions of nonlinear evolution equations AU - Elsayed M. E. Zayed JO - Journal of Information and Computing Science VL - 1 SP - 003 EP - 012 PY - 2024 DA - 2024/01 SN - 8 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22624.html KW - Nonlinear evolution equations, modified (G'/G)-expansion method, hyperbolic Function solutions, Trigonometric Function solutions, Rational function solutions. AB - A modified (G'/G)- expansion method is proposed to construct hyperbolic, trigonometric and rational function solutions of nonlinear evolution equations which can be thought of as the generalization of the (G'/G)- expansion method given recently by M.Wang et al . To illustrate the validity and advantages of this method, the (1+1)-dimensional Hirota-Ramani equation and the (2+1)-dimensional Breaking soliton equation are considered and more general traveling wave solutions are obtained. It is shown that the proposed method provides a more general powerful mathematical tool for solving nonlinear evolution equations in mathematical physics.
Elsayed M. E. Zayed. (2024). A modified (G'/G)- expansion method and its application for finding hyperbolic, trigonometric and rational function solutions of nonlinear evolution equations. Journal of Information and Computing Science. 8 (1). 003-012. doi:
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