Showing math.SPShow all
2 papers · 1 filter
math.SP2026
Selection of the ground state on a compact metric graph
Robert Marangell, Dmitry E. Pelinovsky
We show that the ground state in the Fisher--KPP model on a compact metric graph with Dirichlet conditions on boundary vertices is either trivial (zero) or nontrivial and strictly…
math.SP2025
Detecting eigenvalues in a fourth-order nonlinear Schrödinger equation with a non-regular Maslov box
Mitchell Curran, Robert Marangell
We use the Maslov index to study the eigenvalue problem arising from the linearisation about solitons in the fourth-order cubic nonlinear Schrödinger equation (NLSE). Our analysis…