Penrose instabilities and the emergence of rogue waves in Sasa–Satsuma equation

M Pradeepa, N Vishnu Priya, M Senthilvelan - The European Physical …, 2021 - Springer
In this paper, we calculate the region of emergence of rogue waves in the Sasa–Satsuma
equation by performing Penrose stability analysis. We consider Wigner-transformed Sasa …

[PDF][PDF] Completeness of squared eigenfunctions of the Zakharov-Shabat spectral problem

AT Assaubay - 2023 - dmpeli.math.mcmaster.ca
The completeness of eigenfunctions for linearized equations is critical for many applications,
such as the study of stability of solitary waves. In this thesis, we work with the Nonlinear …