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Volume 2, Issue 1
A Modified F-expansion Method for Solving Nonlinear PDEs

J. Info. Comput. Sci. , 2 (2007), pp. 03-16.

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  • Abstract
In this paper, a modified F-expansion method is proposed by taking full advantages of F-expansion method and Riccati equation in seeking exact solutions of nonlinear PDEs. By the method, rich families of exact solutions of nonlinear PDEs have been obtained, including soliton-like solutions, trigonometric function solutions and rational solutions. The method can be applied to solve massive nonlinear PDEs (group), as well as helps us find new exact solutions. Furthermore, with the aid of computer symbolic systems (Mathematica or Maple), the method can be conveniently operated. Some illustrative equations are investigated by this method and some figures of partial solutions are provided for direct-viewing analysis.
  • Keywords

Modified F-expansion Method, Nonlinear PDEs, Riccati Equation, Exact Solution.

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COPYRIGHT: © Global Science Press

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@Article{JICS-2-03, author = {}, title = {A Modified F-expansion Method for Solving Nonlinear PDEs}, journal = {Journal of Information and Computing Science}, year = {2024}, volume = {2}, number = {1}, pages = {03--16}, abstract = {In this paper, a modified F-expansion method is proposed by taking full advantages of F-expansion method and Riccati equation in seeking exact solutions of nonlinear PDEs. By the method, rich families of exact solutions of nonlinear PDEs have been obtained, including soliton-like solutions, trigonometric function solutions and rational solutions. The method can be applied to solve massive nonlinear PDEs (group), as well as helps us find new exact solutions. Furthermore, with the aid of computer symbolic systems (Mathematica or Maple), the method can be conveniently operated. Some illustrative equations are investigated by this method and some figures of partial solutions are provided for direct-viewing analysis. }, issn = {1746-7659}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22814.html} }
TY - JOUR T1 - A Modified F-expansion Method for Solving Nonlinear PDEs AU - JO - Journal of Information and Computing Science VL - 1 SP - 03 EP - 16 PY - 2024 DA - 2024/01 SN - 2 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22814.html KW - Modified F-expansion Method, Nonlinear PDEs, Riccati Equation, Exact Solution. AB - In this paper, a modified F-expansion method is proposed by taking full advantages of F-expansion method and Riccati equation in seeking exact solutions of nonlinear PDEs. By the method, rich families of exact solutions of nonlinear PDEs have been obtained, including soliton-like solutions, trigonometric function solutions and rational solutions. The method can be applied to solve massive nonlinear PDEs (group), as well as helps us find new exact solutions. Furthermore, with the aid of computer symbolic systems (Mathematica or Maple), the method can be conveniently operated. Some illustrative equations are investigated by this method and some figures of partial solutions are provided for direct-viewing analysis.
. (2024). A Modified F-expansion Method for Solving Nonlinear PDEs. Journal of Information and Computing Science. 2 (1). 03-16. doi:
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