Results 91 to 100 of about 2,100,774 (208)
KAM theorem for the nonlinear Schrödinger equation [PDF]
, 2001 We prove the persistence of finite dimensional invariant tori associated with the dfocusing nonlinear Schrödinger equation under small Hamiltonian perturbations.
Grébert, B +3 more
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Soliton Solutions of the Nonlinear Schrödinger Equation.
, 2013 The nonlinear Schrödinger equation is a classical field equation that describes weakly nonlinear wave-packets in one-dimensional physical systems.
Middlemas, Erin
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Three Types Generalized Zn-Heisenberg Ferromagnet Models
Advances in Mathematical Physics, 2020 By taking values in a commutative subalgebra gln,C, we construct a new generalized Zn-Heisenberg ferromagnet model in (1+1)-dimensions. The corresponding geometrical equivalence between the generalized Zn-Heisenberg ferromagnet model and Zn-mixed ...
Yinfei Zhou +3 more
doaj +1 more source
Denoising of ASL Data Using Deep Learning Priors Generated From Distribution Remapping
Magnetic Resonance in Medicine, Volume 96, Issue 4, Page 1972-1982, October 2026.ABSTRACT Purpose To develop an effective deep learning (DL)–based method to denoise arterial spin labeling (ASL) data. Methods Conventional DL–based ASL denoising methods often suffer from overfitting and poor generalization when training data are limited.
Ziyang Xu +9 more
wiley +1 more source
Finite difference method for time-space-fractional Schrödinger equation
, 2015 In this paper, an implicit finite difference scheme for the nonlinear time-space-fractional Schrödinger equation is presented. It is shown that the implicit scheme is unconditionally stable with experimental convergence order of O(τ2−α+h2), where τ and h
Li, C., Liu, Q., Zeng, F.
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International Journal for Numerical Methods in Engineering, Volume 127, Issue 18, 30 September 2026.ABSTRACT Preparing quantum states with desired amplitude distributions is a key bottleneck in the implementation of quantum linear and nonlinear dynamics solvers, including Linear Combination of Hamiltonian Simulation (LCHS) and Schrödingerization. We present a direct, closed‐form construction of Quantized Tensor Train (QTT) representations for two ...
Katsuhiro Endo, Kazuaki Z. Takahashi
wiley +1 more source
, 2010 This work was partially supported by the Turkish Academy of Sciences (TUBA).In this work, the application of "the modified reductive perturbation method" is extended to the generalized symmetric regularized long-wave equation for strongly dispersive case
Hilmi Demiray, Demiray, Hilmi
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The Matrix Nonlinear Schrödinger Equation in Dimension 2 [PDF]
, 2001 In this paper we study the existence of global solutions to the Cauchy problem for the matrix nonlinear Schrödinger equation (MNLS) in 2 space dimensions. A sharp condition for the global existence is obtained for this equation.
Pedersen, Michael, Zuhan, Liu, Zuhan, L
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Sundman‐Like Transformations and the NRT Nonlinear Schrödinger Equation
Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 14791-14810, 15 September 2026.ABSTRACT We present a new generalization of the well‐known power‐type Sundman transformation, involving not only powers of the function but also of its derivative, along with its inverse. Our aim is to explore the use of such transformations in the derivation of solutions of ordinary differential equations and in the study of their properties.
P. R. Gordoa +3 more
wiley +1 more source
Asymptotic localization of stationary states in the nonlinear Schrödinger equation
, 2008 International audienceThe mapping of the Nonlinear Schrödinger Equation with a random potential on the Fokker-Planck equation is used to calculate the localization length of its stationary states.
Mallick, Kirone +2 more
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