ore
15:00
presso Seminario I
Lecture 2: “Difficult case”
1. Focusing Nonlinear Schr¨odinger equation. Cherednik differential for
the Nonlinear Schr¨odinger equation. Characterization of divisors for
real solutions in terms of Cherednik differential. Elementary characterization of admissible divisors. Regularity of all real solutions.
2. Sine-Gordon equation. Cherednik differential for the Since-Gordon
equation. Characterization of divisors for real solutions in terms of
Cherednik differential. Elementary characterization of admissible divisors. Regularity of all real solutions.
3. Number of connected components in the space of solutions for a fixed
spectral curve.
4. Real regular Kadomtsev-Perviashvili I solutions.