Name
Abstract | ||
|---|---|---|
We study solutions to the Kadomtsev-Petviashvili equation whose underlying algebraic curves undergo tropical degenerations. Riemann's theta function becomes a finite exponential sum that is supported on a Delaunay polytope. We introduce the Hirota variety which parametrizes all tau functions arising from such a sum. We compute tau functions from points on the Sato Grassmannian that represent Riemann-Roch spaces and we present an algorithm that finds a soliton solution from a rational nodal curve. |
Year | DOI | Venue |
|---|---|---|
2023 | 10.1016/j.jsc.2022.04.009 | Journal of Symbolic Computation |
Keywords | DocType | Volume |
KP equation,Soliton solutions,Theta function,Delaunay polytope,Sato Grassmannian,Riemann-Roch space | Journal | 114 |
ISSN | Citations | PageRank |
0747-7171 | 0 | 0.34 |
References | Authors | |
0 | 4 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Daniele Agostini | 1 | 0 | 0.34 |
| Claudia Fevola | 2 | 0 | 0.34 |
| Yelena Mandelshtam | 3 | 0 | 0.34 |
| Bernd Sturmfels | 4 | 926 | 136.85 |