[HTML][HTML] On the proximity between the wave dynamics of the integrable focusing nonlinear Schrödinger equation and its non-integrable generalizations
D Hennig, NI Karachalios, D Mantzavinos… - Journal of Differential …, 2024 - Elsevier
The question of whether features and behaviors that are characteristic to completely
integrable systems persist in the transition to non-integrable settings is a central one in the …
integrable systems persist in the transition to non-integrable settings is a central one in the …
The hybrid finite difference and moving boundary methods for solving a linear damped nonlinear Schrödinger equation to model rogue waves and breathers in …
AH Salas, SA El-Tantawy… - … Problems in Engineering, 2020 - Wiley Online Library
In this paper, the dissipative and nondissipative modulated pulses such as rogue waves
(RWs) and breathers (Kuznetsov‐Ma breathers and Akhmediev breathers) that can exist and …
(RWs) and breathers (Kuznetsov‐Ma breathers and Akhmediev breathers) that can exist and …
Damped nonlinear Schrödinger equation with Stark effect
The problem of singularity formation for damped NLS (dNLS) has been an interesting and
meanwhile challenging one in both mathematical and physical literature. We study the L 2 …
meanwhile challenging one in both mathematical and physical literature. We study the L 2 …
Exciting extreme events in the damped and AC-driven NLS equation through plane-wave initial conditions
S Diamantidis, TP Horikis… - Chaos: An Interdisciplinary …, 2021 - pubs.aip.org
We investigate, by direct numerical simulations and for certain parametric regimes, the
dynamics of the damped and forced nonlinear Schrödinger (NLS) equation in the presence …
dynamics of the damped and forced nonlinear Schrödinger (NLS) equation in the presence …