RT info:eu-repo/semantics/article
T1 On nonparaxial nonlinear Schrödinger-type equations
A1 Cano Urdiales, Begoña
A1 Durán Martín, Ángel
AB In this paper the one-dimensional nonparaxial nonlinear Schrödinger equation is considered.This was proposed as an alternative to the classical nonlinear Schrödinger equationin those situations where the assumption of paraxiality may fail. The paper contributesto the mathematical properties of the equation in a two-fold way. First, some theoreticalresults on linear well-posedness, Hamiltonian and multi-symplectic formulations arederived. Then we propose to take into account these properties in order to deal withthe numerical approximation. In this sense, different numerical procedures that preservethe Hamiltonian and multi-symplectic structures are discussed and illustrated withnumerical experiments.
YR 2019
FD 2019
LK http://uvadoc.uva.es/handle/10324/37954
UL http://uvadoc.uva.es/handle/10324/37954
LA spa
NO Journal of Computational and Applied Mathematics  *, *, p. *-*
DS UVaDOC
RD 22-nov-2024