A study of (3+1)-dimensional generalized Korteweg-de Vries- Zakharov-Kuznetsov equation via Lie symmetry approach

Results in Physics

Oke Davies Adeyemo¹  Chaudry Masood Khalique² 

[1] International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, South Africa;Corresponding author.;

关键词: (3+1)-Dimensional generalized Korteweg-de Vries- Zakharov-Kuznetsov equation;    Lie symmetries;    Closed-form solutions;    Kudryashov’s method;    Conservation laws;   

DOI  :  

来源: DOAJ

【 摘 要 】

In this work, we analytically examine a (3+1)-dimensional generalized Korteweg-de Vries-Zakharov-Kuznetsov equation (gKdV-ZKe). Solutions of this equation, including a non-topological soliton, are obtained by Lie symmetry reductions and direct integration. Moreover, Kudryashov’s method is utilized to generate some closed-form solutions of the equation. Furthermore, cnoidal and snoidal periodic wave solutions are displayed for a special case of the gKdV-ZKe. The obtained solutions are presented graphically. Conclusively, we provide conservation laws of gKdV-ZKe by engaging Noether’s theorem.

【 授权许可】

Unknown