On the Focusing Fractional Nonlinear Schrödinger Equation on the Waveguide Manifolds

Communications in Contemporary Mathematics 2026 Open access

Read full text
Authors: Amin Esfahani, Hichem Hajaiej, Yongming Luo, Linjie Song
DOI: 10.1142/s021919972650080x
Cited by: 0

Abstract

In this paper, we consider the focusing fractional nonlinear Schrödinger equation (FNLS) on the waveguide manifolds [Formula: see text], both in the isotropic and anisotropic cases. Under different conditions, we establish the existence and periodic dependence of the ground states of the focusing FNLS. In the intercritical regime, we also establish the large data scattering for the anisotropic focusing FNLS by utilizing the framework of semivirial vanishing geometry.

Fields of Study & Subjects

Advanced Mathematical Physics Problems Nonlinear Waves and Solitons Spectral Theory in Mathematical Physics

Publication details

Journal / source
Communications in Contemporary Mathematics
Publisher
World Scientific Pub Co Pte Ltd
Publication date
20 September 2026
Language
EN