Year: 2025
Type: article
Abstract: Linear and integrable non-linear fractional evolution equations are discussed. Earlier results for the integrable fractional Korteweg–deVries (KdV) equation and the KdV hierarchy are reviewed. Using these as a guide, the fractional integrable Burgers equation and hierarchy and its solutions are analysed. Some explicit solutions are provided.
Source: Journal of Nonlinear Waves
DOI: 10.1017/jnw.2025.2
Authors: Mark Ablowitz, Sean Nixon
Institution: University of Colorado Boulder
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,550
Funder: National Science Foundation
Award: Nonlinear Wave Motion
OpenAlex ID: W4412810447