70 citations · 70 across the 2 of their papers we have counts for
2 papers
math-ph2023
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…
nlin.SI2010★ 70 cited
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…