2019/11/15 by Atsushi Nakayashiki, Nakayashiki, Atsushi · 1 citation
Chemistry · Mathematics · Physics and Astronomy · #14H70 #35C08 #37K40 #Advanced Mathematical Physics Problems #Algebraic Geometry (math.AG) #Chemistry #Crystal structure #Crystallography #Degeneration (medical) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Grassmannian #Mathematical Physics (math-ph) #Mathematical analysis #Mathematical physics #Mathematics #Mixing (physics) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Physics #Pure mathematics #Quantum mechanics #Trigonal crystal system #math-ph #math.AG #math.MP #msc:14H70 #msc:35C08 #msc:37K40 #nlin.SI
paper · pdf · doi:10.48550/arxiv.1911.06524
20 pages
arxiv created 2019/11/15 · openalex publication_date 2019/11/15 · arxiv updated 2019/11/18 · openalex created_date 2022/07/26 · openalex updated_date 2026/08/06
We consider certain degenerations of trigonal curves and hyperelliptic curves, which we call one step degeneration. We compute the limits of corresponding quasi-periodic solutions using the Sato Grassmannian. The mixing of solitons and quasi-periodic solutions is clearly visible in the obtained solutions.