On dispersionless Hirota type equations
Robert Carroll (Mathematics Dept., University of Illinois, Urbana, IL)
TL;DR
This paper explores dispersionless Hirota type equations derived from the Fay differential identity, connecting them with inverse scattering, dKdV, and gravity, highlighting their mathematical structure and relations.
Contribution
It introduces a new perspective on dispersionless Hirota equations from the Fay identity and sketches their links to inverse scattering, dKdV, and gravity.
Findings
Derived dispersionless Hirota equations from Fay identity
Established connections with inverse scattering and dKdV
Provided insights into the mathematical structure of these equations
Abstract
Dispersionless Hirota type equations are extracted from the dispersionless limit of the Fay differential identity due to Takasaki- Takebe. A few other results are sketched between inverse scattering, dKdV, and gravity.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsNonlinear Waves and Solitons · Advanced Mathematical Physics Problems · Algebraic structures and combinatorial models