Analytical solutions with the improved (G'/G)-expansion method for nonlinear evolution equations

International Conference on Quantum Science and Applications 2016

Kaplan, Melike^1 ; Bekir, Ahmet^1 ; Akbulut, Arzu^1

Eskisehir Osmangazi University, Art-Science Faculty, Mathematics-Computer Department, Eskisehir

26480, Turkey^1

关键词: (g'/g) expansion methods;    Benjamin-Bona-mahony equation;    Exact solution;    Nonlinear dispersive;    Nonlinear evolution equation;    Nonlinear partial differential equations;    Symbolic computation;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/766/1/012033/pdf
DOI  :  10.1088/1742-6596/766/1/012033

来源: IOP

【 摘 要 】

To seek the exact solutions of nonlinear partial differential equations (NPDEs), the improved (G'/G)-expansion method is proposed in the present work. With the aid of symbolic computation, this effective method is applied to construct exact solutions of the (1+1)-dimensional nonlinear dispersive modified Benjamin-Bona-Mahony equation and (3+1)- dimensional Kudryashov-Sinelshchikov equation. As a result, new types of exact solutions are obtained.