March 19, 2026

NLS with higher order dispersion

Abstract: We study a higher order dispersion nonlinear Schr6dinger (NLS) equation with the k-Laplacian (-Δ)k, and the potential term expressed as a power nonlinearity (for any positive power). When k = 1 we recover the NLS with the standard Laplacian and when k = 2 we get the bi-harmonic NLS. We investigate well-posedness of solutions…

New Constructions of Multidimensional Periodic Array Families for Video Watermarking

Abstract: Families of periodic arrays are useful in a variety of applications, including multiple target recognition, optical communications, and digital watermarking. In video watermarking, these arrays can be employed as watermarks to ensure copyright protection and to verify the authenticity of the original video. In video watermarking, watermarks based on periodic arrays can be embedded…