[BOOK][B] Spectral and dynamical stability of nonlinear waves
T Kapitula, K Promislow - 2013 - Springer
The stability of nonlinear waves has a distinguished history and an abundance of richly
structured yet accessible examples, which makes it not only an important subject but also an …
structured yet accessible examples, which makes it not only an important subject but also an …
[BOOK][B] Mathematical concepts of quantum mechanics
SJ Gustafson, IM Sigal, IM Sigal, I Physicien, IM Sigal… - 2003 - Springer
Stephen J. Gustafson Israel Michael Sigal Third Edition Page 1 Universitext Stephen J.
Gustafson Israel Michael Sigal Mathematical Concepts of Quantum Mechanics Third Edition …
Gustafson Israel Michael Sigal Mathematical Concepts of Quantum Mechanics Third Edition …
[BOOK][B] Invariant manifolds and dispersive Hamiltonian evolution equations
K Nakanishi, W Schlag - 2011 - books.google.com
The notion of an invariant manifold arises naturally in the asymptotic stability analysis of
stationary or standing wave solutions of unstable dispersive Hamiltonian evolution …
stationary or standing wave solutions of unstable dispersive Hamiltonian evolution …
Solitary wave dynamics in an external potential
J Fröhlich, S Gustafson, BLG Jonsson… - … in mathematical physics, 2004 - Springer
We study the behavior of solitary-wave solutions of some generalized nonlinear Schrödinger
equations with an external potential. The equations have the feature that in the absence of …
equations with an external potential. The equations have the feature that in the absence of …
Attractors of nonlinear Hamiltonian partial differential equations
AI Komech, EA Kopylova - Russian Mathematical Surveys, 2020 - iopscience.iop.org
This is a survey of the theory of attractors of nonlinear Hamiltonian partial differential
equations since its appearance in 1990. Included are results on global attraction to …
equations since its appearance in 1990. Included are results on global attraction to …
On selection of standing wave at small energy in the 1D cubic Schrödinger equation with a trap** potential
S Cuccagna, M Maeda - Communications in Mathematical Physics, 2022 - Springer
Combining virial inequalities by Kowalczyk, Martel and Munoz and Kowalczyk, Martel,
Munoz and Van Den Bosch with our theory on how to derive nonlinear induced dissipation …
Munoz and Van Den Bosch with our theory on how to derive nonlinear induced dissipation …
Optical solitons of new extended (3+ 1)-dimensional nonlinear Kudryashov's equation via ϕ 6-model expansion method
H Ur Rehman, I Iqbal, M Mirzazadeh… - Optical and Quantum …, 2024 - Springer
Abstract The newly developed (3+ 1)-dimensional nonlinear Kudryashov's equation offers a
framework for studying the behavior of propagating modulated envelope signals and is …
framework for studying the behavior of propagating modulated envelope signals and is …
Asymptotic stability of nonlinear Schrödinger equations with potential
ASYMPTOTIC STABILITY OF NONLINEAR SCHRÖDINGER EQUATIONS WITH
POTENTIAL Page 1 November 18, 2005 10:54 WSPC/148-RMP J070-00252 Reviews in …
POTENTIAL Page 1 November 18, 2005 10:54 WSPC/148-RMP J070-00252 Reviews in …
Geometric analysis of bifurcation and symmetry breaking in a gross—pitaevskii equation
RK Jackson, MI Weinstein - Journal of statistical physics, 2004 - Springer
Abstract Gross–Pitaevskii and nonlinear Hartree equations are equations of nonlinear
Schrödinger type that play an important role in the theory of Bose–Einstein condensation …
Schrödinger type that play an important role in the theory of Bose–Einstein condensation …
Stop** light on a defect
RH Goodman, RE Slusher, MI Weinstein - JOSA B, 2002 - opg.optica.org
Gap solitons are localized nonlinear coherent states that have been shown both
theoretically and experimentally to propagate in periodic structures. Although theory allows …
theoretically and experimentally to propagate in periodic structures. Although theory allows …