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

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 t...

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Bibliographic Details
Published in:Mathematics (Basel) 2023-06, Vol.11 (12), p.2686
Main Authors: Yasmin, Humaira, Aljahdaly, Noufe H., Saeed, Abdulkafi Mohammed, Shah, Rasool
Format: Article
Language:English
Subjects:
Algebra
Exact solutions
extended direct algebraic method
Fractional Coupled Konno–Onno System
Magnetic fields
Mathematics
Ordinary differential equations
Partial differential equations
Solitary waves
Solitons
solitons solutions
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Summary: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.
ISSN:2227-7390
2227-7390
DOI:10.3390/math11122686