Integrable fractional Burgers hierarchy
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.
Authors
- Sean Nixon (ORCID: https://orcid.org/0000-0002-3135-0375)
- Mark J. Ablowitz (ORCID: https://orcid.org/0000-0001-5755-9217)
Institutions
- University of Colorado Boulder (US)
Publication Details
- Journal
- Journal of Nonlinear Waves
- Published
- 2025-01-01
- DOI
- https://doi.org/10.1017/jnw.2025.2
- Citations
- 1
- Primary Topic
- Fractional Differential Equations Solutions
- Type
- article
- Field-Weighted Citation Impact
- 1.37
Funders
- National Science Foundation