83 citations · 592 across the 50 of their papers we have counts for
3 papers · 2 filters
On the proximity of Ablowitz-Ladik and discrete Nonlinear Schrödinger models: A theoretical and numerical study of Kuznetsov-Ma solutions
Madison L. Lytle, Efstathios G. Charalampidis, Dionyssios Mantzavinos +3
In this work, we investigate the formation of time-periodic solutions with a non-zero background that emulate rogue waves, known as Kuzentsov-Ma (KM) breathers, in physically relev…
Solitary waves in the coupled nonlinear massive Thirring as well as coupled Soler models with arbitrary nonlinearity
Avinash Khare, Fred Cooper, John F. Dawson +2
Motivated by the recent introduction of an integrable coupled massive Thirring model by Basu-Mallick et al, we introduce a new coupled Soler model. Further we generalize both the c…
Learning Traveling Solitary Waves Using Separable Gaussian Neural Networks
Siyuan Xing, Efstathios G. Charalampidis
In this paper, we apply a machine-learning approach to learn traveling solitary waves across various families of partial differential equations (PDEs). Our approach integrates a no…