Least squares residual power series solutions for Kawahara and Rosenau-Hyman nonlinear wave interactions with applications in fluid dynamics

Least squares residual power series solutions for Kawahara and Rosenau-Hyman nonlinear wave interactions with applications in fluid dynamics

Abstract The present study uses the least squares residual power series (LSRPS) method to obtain approximate solutions to the nonlinear fractional-order Kawahara and Rosenau- Hyman equations. This method combines the residual power series (RPS) technique and the least squares approach. The calculati...

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Bibliographic Details
Main Authors: A. Hassan, A. A. M. Arafa, S. Z. Rida, M. A. Dagher, H. M. El Sherbiny
Format: Article
Language:English
Published: Nature Portfolio 2025-04-01
Series:Scientific Reports
Subjects:
Fractional derivatives
Least squares approximations
Residual power series method
Fractional Wronskian
Kawahara equation
Rosenau-Hyman equation
Online Access:https://doi.org/10.1038/s41598-025-97639-3
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