Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

This article has been cited by the following article(s):

A Relaxation Scheme for the Nonlinear Schrödinger Equation

Christophe Besse
SIAM Journal on Numerical Analysis 42 (3) 934 (2004)
DOI: 10.1137/S0036142901396521
See this article

Numerical methods and comparison for computing dark and bright solitons in the nonlinear Schrödinger equation

Weizhu Bao, Qinglin Tang and Zhiguo Xu
Journal of Computational Physics 235 423 (2013)
DOI: 10.1016/j.jcp.2012.10.054
See this article

A Space-Time Finite Element Method for the Nonlinear Schrödinger Equation: The Continuous Galerkin Method

Ohannes Karakashian and Charalambos Makridakis
SIAM Journal on Numerical Analysis 36 (6) 1779 (1999)
DOI: 10.1137/S0036142997330111
See this article

Order Estimates in Time of Splitting Methods for the Nonlinear Schrödinger Equation

Christophe Besse, Brigitte Bidégaray and Stéphane Descombes
SIAM Journal on Numerical Analysis 40 (1) 26 (2002)
DOI: 10.1137/S0036142900381497
See this article

ANALYSIS OF A RELAXATION SCHEME FOR A NONLINEAR SCHRÖDINGER EQUATION OCCURRING IN PLASMA PHYSICS

Dietmar Oelz and Saber Trabelsi
Mathematical Modelling and Analysis 19 (2) 257 (2014)
DOI: 10.3846/13926292.2014.910279
See this article

Analysis of the error of approximation of two-layer difference schemes for the Korteweg de Vries equation

Elena Nikolaevna Bykovskaya, Alexander Viktorovich Shapranov and Vladimir Ivanovich Mazhukin
Keldysh Institute Preprints (1) 1 (2021)
DOI: 10.20948/prepr-2021-1
See this article

A System of ODEs for a Perturbation of a Minimal Mass Soliton

Jeremy L. Marzuola, Sarah Raynor and Gideon Simpson
Journal of Nonlinear Science 20 (4) 425 (2010)
DOI: 10.1007/s00332-010-9064-z
See this article

A numerical method for the Benjamin-Ono equation

V. Thomée and A. S. Vasudeva Murthy
BIT Numerical Mathematics 38 (3) 597 (1998)
DOI: 10.1007/BF02510262
See this article

Relay-Zone Technique for Numerical Boundary Treatments in Simulating Dark Solitons

Lei Bian and Shaoqiang Tang
Multiscale Science and Engineering 1 (3) 210 (2019)
DOI: 10.1007/s42493-018-00002-0
See this article

Numerical Approximation of Blow-Up of Radially Symmetric Solutions of the Nonlinear Schrödinger Equation

G. D. Akrivis, V. A. Dougalis, O. A. Karakashian and W. R. Mckinney
SIAM Journal on Scientific Computing 25 (1) 186 (2003)
DOI: 10.1137/S1064827597332041
See this article

Finite-difference schemes for the korteweg—de vries equation

V. I. Mazhukin, P. P. Matus and I. A. Mikhailyuk
Differential Equations 36 (5) 789 (2000)
DOI: 10.1007/BF02754240
See this article

Structure-preserving Gauss methods for the nonlinear Schrödinger equation

Georgios Akrivis and Dongfang Li
Calcolo 58 (2) (2021)
DOI: 10.1007/s10092-021-00405-w
See this article