3 papers
nlin.PS2026
Blowup of Multi-Peaked Waveforms in the Two-Dimensional Nonlinear Schroedinger Model
S. Jon Chapman, M. Kavousanakis, E. G. Charalampidis +2
In the present work, we explore the self-focusing and resulting collapse of two-dimensional waveforms involving multiple pulses in a nonlinear Schroedinger equation with a general…
nlin.PS2025
Multi-hump Collapsing Solutions in the Nonlinear Schr{ö}dinger Problem: Existence, Stability and Dynamics
Jon S. Chapman, Mihalis Kavousanakis, Efstathios G. Charalampidis +2
In the present work we examine multi-hump solutions of the nonlinear Schr{ö}dinger equation in the blowup regime of the one-dimensional model with power law nonlinearity, bearing…
nlin.PS2024
Global Bifurcations in a Damped-Driven Diatomic Granular Crystal
D. Pozharskiy, I. G. Kevrekidis, P. G. Kevrekidis
We revisit here the dynamics of an engineered dimer granular crystal under an external periodic drive in the presence of dissipation. Earlier findings included a saddle-node bifurc…