Abstract

This research focuses on investigating soliton solutions for the space-time fractional modified third-order Korteweg-de Vries equation using the auxiliary equation method. The Korteweg-de Vries equation is renowned for its application in modeling shallow-water waves, oceanographic dynamics, and ion-acoustic waves in plasma. By employing a traveling wave transformation, the fractional-order partial differential equation is converted into a nonlinear ordinary differential equation. This study used conformable derivatives to solve the fractional differential equation. Soliton solutions, including bright, dark, singular, periodic singular, combined bright-dark, and combined dark-singular forms, are derived through the application of auxiliary equation method to the reduced equation.

Keywords

Auxiliary equation methodConformal derivativeKorteweg-de Vries equationOptical solitonsShallow water waves

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Publication Info

Year
2025
Type
article
Volume
15
Issue
1
Pages
43518-43518
Citations
0
Access
Closed

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Cite This

Akhtar Hussain, Tarek F. Ibrahim, Fathea M. Osman Birkea et al. (2025). Abundant different types of soliton solutions for fractional modified KdV equation using auxiliary equation method. Scientific Reports , 15 (1) , 43518-43518. https://doi.org/10.1038/s41598-025-26779-3

Identifiers

DOI
10.1038/s41598-025-26779-3
PMID
41372227
PMCID
PMC12696082

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Data completeness: 77%