On soliton dynamics in nonlinear schrödinger equations (original) (raw)

Relaxation of solitons in nonlinear Schrödinger equations with potential

Israel Sigal

Advances in Mathematics, 2007

View PDFchevron_right

The nonlinear Schroedinger equation: Solitons dynamics

Vieri Benci

Journal of Differential Equations, 2010

View PDFchevron_right

On asymptotic stability of solitons for nonlinear Sch "odinger equation

Alexander Komech

2008

View PDFchevron_right

The Nonlinear Schroedinger Equation: Existence, Stability and Dynamics of Solitons

Vieri Benci

Progress In Variational Methods, 2010

View PDFchevron_right

Nonlinear theory of oscillating, decaying, and collapsing solitons in the generalized nonlinear Schrödinger equation

Dmitry Pelinovsky

Physical Review E, 1996

View PDFchevron_right

The derivative nonlinear Schrödinger equation: Global well-posedness and soliton resolution

Peter Perry

Quarterly of Applied Mathematics

View PDFchevron_right

Soliton Resolution for the Derivative Nonlinear Schrödinger Equation

Peter Perry

Communications in Mathematical Physics

View PDFchevron_right

Colliding Solitons for the Nonlinear Schrödinger Equation

Walid Khaled

Communications in Mathematical Physics, 2009

View PDFchevron_right

0 A pr 2 00 8 COLLIDING SOLITONS FOR THE NONLINEAR SCHRÖDINGER EQUATION

Israel Sigal

2021

View PDFchevron_right

Infinite soliton and kink-soliton trains for nonlinear Schrödinger equations

Stefan Le Coz

Nonlinearity, 2014

View PDFchevron_right

Finite-length Soliton Solutions of the Local Homogeneous Nonlinear Schrödinger Equation

Victor Dodonov, Salomon Mizrahi

Physica Scripta, 1998

View PDFchevron_right

Asymptotic Stability of Nonlinear Schrödinger Equations with Potential

Israel Sigal

Reviews in Mathematical Physics, 2005

View PDFchevron_right

Soliton stability criterion for generalized nonlinear Schrödinger equations

Franz Mertens

Physical Review E, 2015

View PDFchevron_right

A note on coupled nonlinear Schrödinger equations

Tarek saanouni

Advances in Nonlinear Analysis, 2014

View PDFchevron_right

Finite and infinite soliton and kink-soliton trains of nonlinear Schrödinger equations

Stefan Le Coz

View PDFchevron_right

Long-time behavior of solutions to the derivative nonlinear Schrödinger equation for soliton-free initial data

Peter Perry

Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2017

View PDFchevron_right

Soliton dynamics in the discrete nonlinear Schrödinger equation

Michael Weinstein

Physics Letters A, 1996

View PDFchevron_right

Solitons in Schrödinger-Maxwell equations

Vieri Benci

Journal of Fixed Point Theory and Applications, 2014

View PDFchevron_right

Variational approximations of soliton dynamics in the Ablowitz-Musslimani nonlinear Schrödinger equation

Rahmi Rusin

Physics Letters A

View PDFchevron_right

On the Cauchy problem and the black solitons of a singularly perturbed Gross-Pitaevskii equation

Stefan Le Coz

View PDFchevron_right

Fast-moving finite and infinite trains of solitons for nonlinear Schrödinger equations

Stefan Le Coz

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2015

View PDFchevron_right

Two-dimensional solitons in the Gross-Pitaevskii equation with spatially modulated nonlinearity

Boris Malomed

Physical Review E, 2006

View PDFchevron_right