Abstract
In this paper, we use Paul-Painlev´e approach method, extended rational sine-cosine method and extended rational sinh-cosh method to construct the exact solution of the nonlinear Gilson-Pickering (GP) equation in plasma. The exact solution of GP equation obtained by the above three methods is new, and we use mathematical software to draw the two-dimensional and three-dimensional graphs of the new exact solutions. Through the study of nonlinear equations in plasma, this study will enrich the research and connotation of nonlinear development equations in plasma.
Recommended Citation
Yang, Bingnuo; Wu, Weinan; Yu, Hongfeng; and Guo, Peng
(2024).
(R2076) New Exact Solution of Gilson–Pickering Equation in Plasma,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 19,
Iss.
1, Article 14.
Available at:
https://digitalcommons.pvamu.edu/aam/vol19/iss1/14