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math-ph2023
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…
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…