Normal form for the symmetry-breaking bifurcation in the nonlinear Schrodinger equation [PDF]
arXiv, 2011 We derive and justify a normal form reduction of the nonlinear Schrodinger equation for a general pitchfork bifurcation of the symmetric bound state that occurs in a double-well symmetric potential. We prove persistence of normal form dynamics for both supercritical and subcritical pitchfork bifurcations in the time-dependent solutions of the nonlinear
Pelinovsky, Dmitry, Phan, Tuoc
arxiv +3 more sources
Integrable Nonautonomous Nonlinear Schrodinger Equations [PDF]
arXiv, 2007 We show that a recently given nonautonomous nonlinear Schrodinger equation (NLSE) can be transformed into the autonomous NLSE.
Metin Gürses
openalex +3 more sources
Research Paper: Soliton Solution of Nonlinear Schrodinger Equation in the Presence of a Minimal Observable Length [PDF]
فیزیک کاربردی ایران, 2021 The unification between the theory of general relativity and the standard model of particle physics predicts the existence of a minimal measurable length on the order of the Planck length. Nowadays phenomenological studies of field theory in the presence
Behrooz Khosropour
doaj +1 more source
Existence of Traveling Wave Fronts for a Generalized Nonlinear Schrodinger Equation
Advances in Mathematical Physics, 2022 In the presented paper, a generalized nonlinear Schrodinger equation without delay convolution kernel and with special delay convolution kernel is investigated.
Yuanhua Lin, Liping He
doaj +1 more source
Stability of KAM tori for nonlinear Schrodinger equation [PDF]
arXiv, 2014 It is proved that the KAM tori (thus quasi-periodic solutions) are long time stable for nonlinear Schrodinger equation.
Hongzi Cong, Jianjun Liu, Xiaoping Yuan
openalex +3 more sources
Eigenvalue cut-off in the cubic-quintic nonlinear Schrodinger equation [PDF]
arXiv, 2008 Using theoretical arguments, we prove the numerically well-known fact that the eigenvalues of all localized stationary solutions of the cubic-quintic 2D+1 nonlinear Schrodinger equation exhibit an upper cut-off value. The existence of the cut-off is inferred using Gagliardo-Nirenberg and Holder inequalities together with Pohozaev identities.
Vladyslav Prytula +2 more
openalex +3 more sources
Benefits of Open Quantum Systems for Quantum Machine Learning
Advanced Quantum Technologies, EarlyView., 2023 Quantum machine learning (QML), poised to transform data processing, faces challenges from environmental noise and dissipation. While traditional efforts seek to combat these hindrances, this perspective proposes harnessing them for potential advantages. Surprisingly, under certain conditions, noise and dissipation can benefit QML.
María Laura Olivera‐Atencio +2 more
wiley +1 more source
Discrete Nonlinear Schrodinger Equations with arbitrarily high order nonlinearities [PDF]
, 2006 A class of discrete nonlinear Schrodinger equations with arbitrarily high order nonlinearities is introduced. These equations are derived from the same Hamiltonian using different Poisson brackets and include as particular cases the saturable discrete ...
A. Scott +6 more
core +3 more sources
The First Integral Method to the Nonlinear Schrodinger Equations in Higher Dimensions
Abstract and Applied Analysis, 2013 The first integral method introduced by Feng is adopted for solving some important nonlinear partial differential equations, including the (2 + 1)-dimensional hyperbolic nonlinear Schrodinger (HNLS) equation, the generalized nonlinear Schrodinger (GNLS ...
Shoukry Ibrahim Atia El-Ganaini
doaj +1 more source
SOLUCIÓN DE LA ECUACIÓN NO LINEAL DE SCHRODINGER (1+1) EN UN MEDIO KERR
Redes de Ingeniería, 2015 Se presenta un marco teórico y se muestra una simulación numérica de la propagación de solitones. Con especial atención a los solitones ópticos espaciales, se calcula analíticamente el perfil de solitón correspondiente a la ecuación Schrodinger no-lineal
Francis Armando Segovia, Emilse Cabrera
doaj +1 more source