Stability of the Additive Splitting Methods for the Generalized Nonlinear Schrödinger Equation

Splitting methods provide an efficient approach to solving evolutionary wave equations, especially in situations where dispersive and nonlinear effects on wave propagation can be separated, as in the generalized nonlinear Schrödinger equation (GNLSE). However, such methods are explicit and can lead...

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Bibliographic Details

Published in:	Mathematics
Main Authors:	Shalva Amiranashvili, Uwe Bandelow, Raimondas Čiegis
Format:	Article
Language:	English
Published:	MDPI AG 2025-04-01
Subjects:	nonlinear fibers nonlinear Schrödinger equation generalized nonlinear Schrödinger equation modulation instability numerical instabilities splitting methods
Online Access:	https://www.mdpi.com/2227-7390/13/8/1301