37 citations · 58 across the 3 of their papers we have counts for
5 papers
Modulation theory for self-focusing in the nonlinear Schrödinger-Helmholtz equation
Yanping Cao, Ziad H. Musslimani, Edriss S. Titi
The nonlinear Schrödinger-Helmholtz (SH) equation in space dimensions with nonlinear power was proposed as a regularization of the classical nonlinear Schrödinger (NLS) eq…
Nonlinear Schrodinger-Helmholtz Equation as Numerical Regularization of the Nonlinear Schrodinger Equation
Yanping Cao, Ziad H. Musslimani, Edriss S. Titi
A regularized system of the Nonlinear Schrödinger Equation (NLS) with nonlinear power in dimension is studied. We prove existence and uniqueness of local solution in t…
Numerical study of one-dimensional and interacting Bose-Einstein condensates in a random potential
Eric Akkermans, Sankalpa Ghosh, Ziad Musslimani
We present a detailed numerical study of the effect of a disordered potential on a confined one-dimensional Bose-Einstein condensate, in the framework of a mean-field description.…
Fundamental and vortex solitons in a two-dimensional optical lattice
Jianke Yang, Ziad Musslimani
Fundamental and vortex solitons in a two-dimensional optically induced waveguide array are reported. In the strong localization regime, the fundamental soliton is largely confined…
Discrete gap solitons in a diffraction-managed waveguide array
P. G. Kevrekidis, B. A. Malomed, Z. Musslimani
A model including two nonlinear chains with linear and nonlinear couplings between them, and opposite signs of the discrete diffraction inside the chains, is introduced. For [$χ^{(…