A Spectral Fractional Hirota Bilinear Operator: Analysis and Application to a Time-Fractional KdV Equation
Abstract
We develop a fractional version of Hirota's bilinear calculus that is built directly from the spectral (Fourier-multiplier) fractional derivative on $\mathbb{R}$. For $0
Fields of Study & Subjects
Fractional Differential Equations Solutions
Nonlinear Waves and Solitons
Advanced Mathematical Physics Problems
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 24 January 2026
- Document type
- Preprint