Investigating Symmetric Soliton Solutions for the Fractional Coupled Konno–Onno System Using Improved Versions of a Novel Analytical Technique

Humaira Yasmin (), Noufe H. Aljahdaly, Abdulkafi Mohammed Saeed and Rasool Shah
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Humaira Yasmin: Department of Basic Sciences, Preparatory Year Deanship, King Faisal University, Al-Ahsa 31982, Saudi Arabia
Noufe H. Aljahdaly: Department of Mathematics, Faculty of Sciences and Arts, King Abdulaziz University, Rabigh 21911, Saudi Arabia
Abdulkafi Mohammed Saeed: Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia
Rasool Shah: Department of Mathematics, Abdul Wali Khan University, Mardan 23200, Pakistan

Mathematics, 2023, vol. 11, issue 12, 1-30

Abstract: The present research investigates symmetric soliton solutions for the Fractional Coupled Konno–Onno System (FCKOS) by using two improved versions of an Extended Direct Algebraic Method (EDAM) i.e., modified EDAM (mEDAM) and r +mEDAM. By obtaining precise analytical solutions, this research explores the characteristics and behaviours of symmetric solitons in FCKOS. Further, the amplitude, shape and propagation behaviour of some solitons are visualized by means of a 3D graph. This investigation fosters a more thorough comprehension of non-linear wave phenomena in considered systems and offers helpful insights towards soliton behavior in it. The outcomes reveal that the recommended techniques are successful in constructing symmetric soliton solutions for complex models like the FCKOS.

Keywords: Fractional Coupled Konno–Onno System; extended direct algebraic method; solitons solutions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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