3 papers
math.HO2026
When infinity stopped being embarrassing: The doubly infinite series of Pierre Alphonse Laurent and the mathematical rehabilitation of singularities
B. Sriraman, N. Karjanto
For the better part of a century, isolated singularities were treated as pathological obstructions requiring elaborate avoidance strategies. Pierre Alphonse Laurent (1813--1854), a…
nlin.PS2025
Discrete equations and auto-traveling kinks of the model
H. Susanto, N. Karjanto
We study the model and derive two broad classes of lattice discretizations that admit static, translationally invariant kinks; that is, stationary kink profiles that can b…
nlin.PS2024
Analysis of multistability in discrete quantum droplets and bubbles
R. Kusdiantara, H. Susanto, T. F. Adriano +1
This study investigates the existence and stability of localized states in the discrete nonlinear Schrödinger (DNLS) equation with quadratic and cubic nonlinearities, describing t…