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2009, Springer tracts in modern physics, ISBN 9783540891987, Volume 232, xx, 415
Summarizes the results obtained over the years in the context of the Discrete Nonlinear Schrodinger equation and the physical settings. This book introduces... 
Nonlinear systems | Schrödinger equation | Nonlinear wave equations | Mathematical and Computational Physics | Quantum Physics | Physics
Book
Scientific Reports, ISSN 2045-2322, 04/2016, Volume 6, Issue 1, p. 23645
We investigate the propagation of one-dimensional and two-dimensional (1D, 2D) Gaussian beams in the fractional Schrödinger equation (FSE) without a potential,... 
Propagation | Splitting | Diffraction
Journal Article
Physics Letters A, ISSN 0375-9601, 12/2019, p. 126180
Journal Article
Physical Review Letters, ISSN 0031-9007, 04/2018, Volume 120, Issue 14, p. 141601
A Schrödinger equation proposed for the Girvin-MacDonald-Platzman gapped spin-2 mode of fractional quantum Hall states is found from a novel nonrelativistic... 
Einstein equations | Nonlinear equations | Particle spin | Mathematical analysis | Schroedinger equation | Confining | Quantum theory | Harmonic oscillators
Journal Article
Chaos, ISSN 1054-1500, 10/2019, Volume 29, Issue 10
Integrable and nonintegrable discrete nonlinear Schrödinger equations (NLS) are significant models to describe many phenomena in physics. Recently, Ablowitz... 
Fourier transforms | Nonlinear equations | Inverse scattering | Cauchy problems | Schroedinger equation | Iterative methods | Cauchy problem
Journal Article
Physics Letters A, ISSN 0375-9601, 11/2019, p. 126132
Journal Article
Nonlinear Analysis, ISSN 0362-546X, 11/2019, Volume 188, pp. 91 - 124
We consider the Cauchy problem for the higher-order nonlinear Schrödinger equation where the coefficients The aim of the present paper is to prove the global... 
Decay estimates | Nonlinear Schrödinger equation | Dispersive equations | Scattering theory | Energy dissipation | Schroedinger equation | Cauchy problem
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 11/2019
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 11/2019
Journal Article
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, ISSN 1364-503X, 04/2013, Volume 371, Issue 1989
Journal Article
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, ISSN 1364-5021, 11/2016, Volume 472, Issue 2195, p. 20160588
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 04/2019, Volume 266, Issue 8, pp. 4997 - 5011
In this study, we consider the Cauchy problem for a dissipative nonlinear Schrödinger equation. In particular, we show that for any data which belong to the... 
Short-range scattering | Dissipative nonlinear Schrödinger equations
Journal Article
Applied Mathematics Letters, ISSN 0893-9659, 08/2018, Volume 82, pp. 64 - 70
Based on the nonlocal nonlinear Schrödinger equation that governs phenomenologically the propagation of laser beams in nonlocal nonlinear media, we... 
Nonlinear propagation | Nonlocal nonlinear Schrödinger equation | Optical soliton | MATHEMATICS, APPLIED | Nonlocal nonlinear Schrodinger equation | BEAMS | DARK | PROPAGATION | Thin films | Numerical analysis | Dielectric films
Journal Article
Nonlinear Analysis, ISSN 0362-546X, 01/2019, Volume 178, p. 133
In this paper, we employ Bourgain type norm to investigate the wellposedness for the Cauchy problem of one dimensional semirelativistic Schrödinger equation... 
Nonlinear equations | Schrodinger equation | Nonlinearity | Schroedinger equation | Nonlinear systems | Regularity | Cauchy problem
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 02/2018, Volume 318, pp. 3 - 18
Journal Article
Applied Numerical Mathematics, ISSN 0168-9274, 11/2019
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 01/2013, Volume 87, Issue 1, p. 013201
We investigate rogue-wave solutions in a three-component coupled nonlinear Schrodinger equation. With certain requirements on the backgrounds of components, we... 
FIBER | PHYSICS, MATHEMATICAL | PHYSICS, FLUIDS & PLASMAS | Models, Theoretical | Rheology - methods | Algorithms | Nonlinear Dynamics | Computer Simulation | Physics - Pattern Formation and Solitons
Journal Article
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