Exploring the dynamics of shallow water waves and nonlinear wave propagation in hyperelastic rods: Analytical insights into the Camassa–Holm equation

MMA Khater - Modern Physics Letters B, 2024 - World Scientific
The objective of this paper is to examine the analytical properties of the nonlinear (1+ 1)-
dimensional Camassa–Holm equation (ℂ ℍ), a fundamental model within the domain of …

Multidomain spectral approach to rational‐order fractional derivatives

C Klein, N Stoilov - Studies in Applied Mathematics, 2024 - Wiley Online Library
We propose a method to numerically compute fractional derivatives (or the fractional
Laplacian) on the whole real line via Riesz fractional integrals. The compactified real line is …