70 citations · 138 across the 9 of their papers we have counts for
9 papers
Rogue wave formation scenarios for the focusing nonlinear Schrödinger equation with parabolic-profile initial data on a compact support
F. Demontis, G. Ortenzi, G. Roberti +1
We study the (1+1) focussing nonlinear Schrödinger equation for an initial condition with compactly-supported parabolic profile and phase depending quadratically on the spatial coo…
Quaternion Algebra Approach to Nonlinear Schrödinger Equations with Nonvanishing Boundary Conditions
Francesco Demontis, Cornelis van der Mee
In this article we apply quaternionic linear algebra and quaternionic linear system theory to develop the inverse scattering transform theory for the nonlinear Schrödinger equation…
From the AKNS system to the matrix Schroedinger equation with vanishing potentials: Direct and inverse problems
Francesco Demontis, Cornelis van der Mee
We relate the scattering theory of the focusing AKNS system with vanishing boundary conditions to that of the matrix Schroedinger equation. The corresponding Miura transformation w…
Effective Generation of Closed-form Soliton Solutions of the Continuous Classical Heisenberg Ferromagnet Equation
F. Demontis, S. Lombardo, M. Sommacal +2
The non-topological, stationary and propagating, soliton solutions of the classical continuous Heisenberg ferromagnet equation are investigated. A general, rigorous formulation of…
Wave Speed in the Macroscopic Extended Model for Ultrarelativistic Gases
F. Borghero, F. Demontis, S. Pennisi
An exact macroscopic extended model for ultrarelativistic gases, with an arbitrary number of moments, is present in the literature. Here we exploit equations determining wave speed…
Exact solutions to the modified Korteweg-de Vries equation
Francesco Demontis
A formula for certain exact solutions to the modified Korteweg-de Vries (mKdV) equation is obtained via the inverse scattering transform method. The kernel of the relevant Marchenk…