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Mir Sajjad Hashemi

Mir Sajjad Hashemi

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId:
HIndex: 0/00
Faculty: Faculty of Basic Sciences
Address:
Phone: 04137745000-1641

Research

Title
Non-classical Lie symmetry and conservation laws of the nonlinear time-fractional Kundu–Eckhaus (KE) equation
Type
JournalPaper
Keywords
Lie symmetry; Kundu–Eckhaus equation; time-fractional partial differential equation; classical symmetry; non-classical symmetry
Year
2021
Journal Pramana, Journal of Physics
DOI
Researchers Mir Sajjad Hashemi ، Ali Haji-Badali ، Farzaneh Alizadeh

Abstract

This work provides an analytical investigation of the time-fractional Kundu–Eckhaus (KE) equation. We use the symmetry of the Lie group as an appropriate tool which deals with the wide class of fractional-order differential equations in Riemann–Liouville sense. In the current work, firstly, we employ classical Lie symmetries to obtain similarity reductions of nonlinear generalised time-fractional KE equation. At the final step, we find relevant exact solutions for the extracted generators.