16 citations · 61 across the 17 of their papers we have counts for
17 papers
Solitary waves in the resonant nonlinear Schrödinger equation: stability and dynamical properties
F. Williams, F. Tsitoura, T. P. Horikis +1
The stability and dynamical properties of the so-called resonant nonlinear Schrödinger (RNLS) equation, are considered. The RNLS is a variant of the nonlinear Schrödinger (NLS) equ…
Exploring a cold plasma-2d black hole connection
Floyd L. Williams
Using a resonance nonlinear Schrodinger equation as a bridge,we explore a direct connection of cold plasma physics to two-dimensional black holes.Namely,we compute and diagonalize…
Elliptic function solutions in Jackiw-Teitelboim dilaton gravity
Jennie D'Ambroise, Floyd L. Williams
We present a new family of solutions for the Jackiw-Teitelboim model of two-dimensional gravity with a negative cosmological constant. Here, a metric of constant Ricci scalar curva…
Zeta functions on tori using contour integration
Emilio Elizalde, Klaus Kirsten, Nicolas Robles +1
A new, seemingly useful presentation of zeta functions on complex tori is derived by using contour integration. It is shown to agree with the one obtained by using the Chowla-Selbe…
Parametric Solution Of Certain Nonlinear Differential Equations In Cosmology II
Jennie D'Ambroise, Floyd L. Williams
This paper continues earlier work where an explicit parametrized solution of a particular nonlinear ordinary differential equation was obtained in terms of the Weierstrass elliptic…
Parametric solution of certain nonlinear differential equations in cosmology
Jennie D'Ambroise, Floyd L. Williams
We obtain in terms of the Weierstrass elliptic function, sigma function, and zeta function an explicit parametrized solution of a particular nonlinear, ordinary differential…