New exact solution for the (3+1) conformable space–time fractional modified Korteweg–de-Vries equations via Sine-Cosine Method

Journal of Taibah University for Science

Abdullahi Jibril¹  Jamilu Sabi’u¹  Abubakar M. Gadu² 

[1] Northwest University;Umaru MusaYar’adua University;

关键词: conformable fractional derivative;    korteweg–de-vries (mkdv) equations;    sine-cosine method;   

DOI  :  10.1080/16583655.2018.1537642

来源: DOAJ

【 摘 要 】

In this research work, we established exact solution for the conformable space–time fractional (3 + 1) dimensional modified Korteweg de Vries equations (mKdV). A Sine- Cosine method is used for obtaining travelling wave solutions for these models with minimal algebra. We can conclude that the proposed scheme is reliable and efficient as its required minimal algebra without using sophisticated Mathematical tools (maple, Mathematica and others). The goal has been achieved with minimal computational cost and the present solutions obtained will serve as new solutions to the modified Korteweg–de-Vries (mKdV) equations.

【 授权许可】

Unknown