A procedure to construct exact solutions of nonlinear evolution equations

Pramana

Adem Cengiz Çevikel1¹  Sait San²  Ahmet Bekir²  Mutlu Akar³ 

[1] Yildiz Technical University, Faculty of Education, Department of Mathematics Education, Davutpasa Campus, 34210, Esenler, Istanbul, Turkey$$;Eskisehir Osmangazi University, Faculty of Arts and Sciences, Mathematics and Computer Science Department, Eskisehir, Turkey$$;Yildiz Technical University, Faculty of Arts and Sciences, Mathematics Department, Davutpasa Campus, 34210, Esenler, Istanbul, Turkey$$

关键词: Exact solutions;    the functional variable method;    nonlinear wave equations.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In this paper, we implemented the functional variable method for the exact solutions of the Zakharov-Kuznetsov-modified equal-width (ZK-MEW), the modified Benjamin-Bona-Mohany (mBBM) and the modified kdV-Kadomtsev-Petviashvili (kdV-KP) equation. By using this scheme, we found some exact solutions of the above-mentioned equation. The obtained solutions include solitary wave solutions, periodic wave solutions and combined formal solutions. The functional variable method presents a wider-applicability for handling nonlinear wave equations.

【 授权许可】

Unknown