26 citations · 83 across the 9 of their papers we have counts for
9 papers
Response of exact solutions of the nonlinear Schrodinger equation to small perturbations in a class of complex external potentials having supersymmetry and parity-time symmetry
Fred Cooper, John F. Dawson, Franz G. Mertens +5
We discuss the effect of small perturbation on nodeless solutions of the nonlinear \Schrodinger\ equation in 1+1 dimensions in an external complex potential derivable from a parity…
Stability of new exact solutions of the nonlinear Schrodinger equation in a Poschl-Teller external potential
John F. Dawson, Fred Cooper, Avinash Khare +5
We discuss the stability properties of the solutions of the general nonlinear \Schrodinger\ equation (NLSE) in 1+1 dimensions in an external potential derivable from a parity-time…
Variational Approach to studying solitary waves in the nonlinear Schrodinger equation with Complex Potentials
Franz G. Mertens, Fred Cooper, Edward Arevalo +3
We discuss the behavior of solitary wave solutions of the nonlinear Schr{ö}dinger equation (NLSE) as they interact with complex potentials, using a four parameter variational appro…
Accurate control of a Bose-Einstein condensate by managing the atomic interaction
L. Morales-Molina, E. Arevalo
We exploit the variation of the atomic interaction in order to move ultra-cold atoms across an AC-driven periodic lattice. By breaking relevant symmetries, a gathering of atoms is…
Solitary waves in three-dimensional crystal-like structures
E. Arevalo
The motion of three-dimensional (3D) solitary waves and solitons in nonlinear crystal-like structures, such as photonic materials, is studied. It is demonstrated that collective ex…
Solitons as a signature of the modulation instability in the discrete nonlinear Schrodinger equation
E. Arevalo
The effect of the modulation instability on the propagation of solitary waves along one-dimensional discrete nonlinear Schrödinger equation with cubic nonlinearity is revisited. A…