70 citations · 95 across the 6 of their papers we have counts for
7 papers
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…
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…
Scattering data computation for the Zakharov-Shabat system
Luisa Fermo, Cornelis van der Mee, Sebastiano Seatzu
A numerical method to solve the direct scattering problem for the Zakharov-Shabat system associated to the initial value problem for the nonlinear Schroedinger equation is proposed…
Emerging problems in approximation theory for the numerical solution of nonlinear PDEs of integrable type
Luisa Fermo, Cornelis Van der Mee, Sebastiano Seatzu
In this paper we present some open problems pertaining to the approximation theory involved in the solution of the important class of Nonlinear Partial Differential Equations (NPDE…
Parameter estimation of monomial-exponential sums
Luisa Fermo, Cornelis Van der Mee, Sebastiano Seatzu
We propose a numerical method, based upon matrix-pencils, for the identification of parameters and coefficients of a monomial-exponential sum. We note that this method can be consi…
Exact Solutions to the Sine-Gordon Equation
Tuncay Aktosun, Francesco Demontis, Cornelis van der Mee
A systematic method is presented to provide various equivalent solution formulas for exact solutions to the sine-Gordon equation. Such solutions are analytic in the spatial variabl…