The new exact solitary wave solutions and stability analysis for the (2+1) $(2+1)$-dimensional Zakharov–Kuznetsov equation

Advances in Difference Equations

Behzad Ghanbari¹  Dumitru Baleanu²  Mustafa Inc³  Abdullahi Yusuf³ 

[1] Department of Engineering Science, Kermanshah University of Technology;Department of Mathematics, Cankaya University;Department of Mathematics, Science Faculty, Firat University;

关键词: ZKE;    GERFM;    Exact solitary wave solutions;    Stability analysis;   

DOI  :  10.1186/s13662-019-1964-0

来源: DOAJ

【 摘 要 】

Abstract In this paper, a new generalized exponential rational function method is employed to extract new solitary wave solutions for the Zakharov–Kuznetsov equation (ZKE). The ZKE exhibits the behavior of weakly nonlinear ion-acoustic waves in incorporated hot isothermal electrons and cold ions in the presence of a uniform magnetic field. Furthermore, the stability for the governing equations is investigated via the aspect of linear stability analysis. Numerical simulations are made to shed light on the characteristics of the obtained solutions.

【 授权许可】

Unknown