2024 : 12 : 11
Mashallah Matinfar

Mashallah Matinfar

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId:
HIndex:
Faculty: Faculty of Mathematical Sciences
Address:
Phone: 35302496

Research

Title
The functional variable method for solving the fractional Korteweg–de Vries equations and the coupled Korteweg–de Vries equations
Type
JournalPaper
Keywords
Korteweg–de Vries equation, Coupled Korteweg–de Vries equation, functional variable method.
Year
2015
Journal PRAMANA
DOI
Researchers Mashallah Matinfar ، Mostafa Eslami ، Mana Kordy

Abstract

This paper presents the exact solutions for the fractional Korteweg–de Vries equations and the coupled Korteweg–de Vries equations with time-fractional derivatives using the functional variable method. The fractional derivatives are described in the modified Riemann–Liouville derivative sense. It is demonstrated that the calculations involved in the functional variable method are extremely simple and straightforward and this method is very effective for handling nonlinear fractional equations.