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

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.

Fractional-order view analysis of Fisher’s and foam drainage equations within Aboodh transform

“…In the fields of biology, chemistry, and medicine, traveling waves are very useful (Gu et al. , 2024; Kawahara and Tanaka, 1983; Yasmin et al. , 2023c; Kurt et al ., 2019; Sunthrayuth et al.…”

An efficient semi-analytical techniques for the fractional-order system of Drinfeld-Sokolov-Wilson equation

“…Classical derivatives have a local character, allowing us to evaluate changes in the vicinity of a point, whereas Caputo fractional derivatives have a nonlocal nature, allowing us to analyze changes in an interval. This trait makes the Caputo fractional derivative applicable to modeling a wider variety of physical phenomena, including ocean climate, atmospheric physics, dynamical systems, earthquakes, vibrations, polymers, etc (refer to the scholarly literature cited in [13][14][15][16][17][18] for additional details).…”

Solving the fractional Fornberg-Whitham equation within Caputo framework using the optimal auxiliary function method

“…The primary objective of this research paper is to address the fractional order Fornberg-Whitham (FW) equation by employing the optimal auxiliary function method, with a specific focus on the fractional derivative in the Caputo sense. Additionally, this investigation explores the physical characteristics of the solution it provides using 3D and contour plots, while examining various fractional order values across three distinct scenarios [34][35][36][37].…”