3 papers
nlin.PS2024
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…
nlin.PS2024
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…
nlin.PS2022
Stability of exact solutions of the -dimensional nonlinear Schrödinger equation with arbitrary nonlinearity parameter
Fred Cooper, Avinash Khare, Efstathios G. Charalampidis +2
In this work, we consider the nonlinear Schrödinger equation (NLSE) in dimensions with arbitrary nonlinearity exponent in the presence of an external confining potential.…