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New extended direct algebraic method; coupled Konno–Oono equation; nonlinear partial differential equation

In this paper, we apply the new extended direct algebraic method (NEDAM) to solve new exact solutions of the new coupled Konno–Oono (CKO) equation, and construct exact solution expressed in terms of hyperbolic functions and trigonometric functions with arbitrary parameters. A comparison between our established results and the results obtained by the existing ones is also presented. As a newly developed mathematical tool, the proposedmethod is an effective and straightforward technique to work out new solutions of various types of nonlinear partial differential equations (NLPDEs) in applied sciences and engineering.

SEYED MEHDI MIRHOSSEINI-ALIZAMINI¹ HADI REZAZADEH² KUMBINARASAIAH SRINIVASA³ AHMET BEKIR⁴

1. Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran
2. Faculty of Engineering Technology, Amol University of Special Modern Technologies, Amol, Iran
3. Department of Mathematics, Karnatak University, Dharwad 580 003, India
4. Neighbourhood of Akcaglan, Imarli Street, Number: 28/4, 26030 Eskisehir, Turkey

Published

12 March 2020

Manuscript received

5 August 2019

Manuscript revised

30 October 2019

Accepted

12 December 2019

Early published

Unedited version published online

Final version published online

6 March 2020