RT info:eu-repo/semantics/article
T1 Solitary-Wave solutions of the fractional nonlinear Schrödinger Equation: I—Existence and numerical generation
A1 Durán Martín, Ángel
A1 Reguera, Nuria
K1 Fractional nonlinear Schrödinger equations
K1 Solitary waves
K1 Petviashvili iterative method
K1 Pseudospectral methods
K1 12 Matemáticas
AB The present paper is the first part of a project devoted to the fractional nonlinearSchrödinger (fNLS) equation. It is concerned with the existence and numerical gener-ation of the solitary-wave solutions. For the first point, some conserved quantities ofthe problem are used to search for solitary-wave solutions from a constrained criticalpoint problem and the application of the concentration-compactness theory. Severalproperties of the waves, such as the regularity and the asymptotic decay in some cases,are derived from the existence result. Some other properties, such as the monotonebehavior and the speed-amplitude relation, will be explored computationally. To thisend, a numerical procedure for the generation of the profiles is proposed. The methodis based on a Fourier pseudospectral approximation of the differential system for theprofiles and the use of Petviashvili’s iteration with extrapolation.
PB Springer
SN 0938-8974
YR 2024
FD 2024
LK https://uvadoc.uva.es/handle/10324/75213
UL https://uvadoc.uva.es/handle/10324/75213
LA eng
NO Journal of Nonlinear Science, 2024, vol. 34, n. 6
NO Producción Científica
DS UVaDOC
RD 05-abr-2025