54 papers
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…
Two-dimensional solitons in extended GPE models with Lee-Huang-Yang corrections
G. N. Koutsokostas, F. Bristy, E. C. Psychogiou +5
We investigate the existence and dynamics of two-dimensional solitary waves in a quantum droplet environment described by the extended Gross-Pitaevskii equation featuring logarithm…
Learning Lax Pairs: Revisiting the Classical Paradigm
Jimmie Adriazola, Gino Biondini, Wei Zhu +1
A Lax pair is sometimes thought of as a structural certificate, in that the spatial operator carries the spectral data of an integrable system, and its isospectral evol…
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice
Christopher Chong, Panayotis G. Kevrekidis, Gino Biondini +1
In the present work we analyze traveling and dispersive shock waves of a two-dimensional Fermi-Pasta-Ulam-Tsingou lattice. In the first part of the paper, using variational techniq…
On the quasi-continuum approximation of some localized patterns in the FPUT lattice
Su Yang, Wenrong Sun, Lei Liu +1
In the present work, we present a number of localized wave patterns that are theoretically analyzed and numerically illustrated to be observable within the widely applicable paradi…
Optical Thermodynamics Beyond the Weak Nonlinearity Limit
Emily Kabat, Shrohan Mohapatra, P. G. Kevrekidis +1
Optical thermodynamics has recently emerged as a theoretical framework describing a Rayleigh-Jeans (RJ) modal power distribution of multimoded nonlinear photonic circuits. However,…