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Journal Article
Applied Mathematics Letters, ISSN 0893-9659, 04/2012, Volume 25, Issue 4, pp. 687 - 691
In the present study, we converted the resulting nonlinear equation for the evolution of weakly nonlinear hydrodynamic disturbances on a static cosmological... 
Hydrodynamics | NLS equation | Exact solutions
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 02/2012, Volume 85, Issue 2, p. 026607
In this paper, we construct a generalized Darboux transformation for the nonlinear Schrodinger equation. The associated N-fold Darboux transformation is given... 
BOUSSINESQ EQUATION | NLS EQUATION | SOLITONS | PHYSICS, MATHEMATICAL | PHYSICS, FLUIDS & PLASMAS | POSITONS
Journal Article
Virus Research, ISSN 0168-1702, 09/2019, Volume 270, p. 197670
The nuclear localization signals (NLS) were usually composed of basic residues (K and R) and played an important role in delivery of genomes and structural... 
DHAV-1 | 3Dpol | 3CD | NLS
Journal Article
ADVANCES IN DIFFERENTIAL EQUATIONS, ISSN 1079-9389, 01/2019, Volume 24, Issue 1-2, pp. 1 - 30
Consider the hyperbolic nonlinear Schrodinger equation (HNLS) over R-d iu(t) + u(xx) - Delta(y)u + lambda vertical bar u vertical bar(sigma) u = 0. We deduce... 
MATHEMATICS | MATHEMATICS, APPLIED | WAVES | NLS
Journal Article
Environmental Science and Policy, ISSN 1462-9011, 12/2015, Volume 54, pp. 428 - 437
Environmental sustainability was established by the United Nations as a Millennium Development Goal (MDG7), including a wide variety of targets referred to the... 
CO 2 | Forecasts | NLS | Environment | EKC | Logistic
Journal Article
SIAM Journal on Mathematical Analysis, ISSN 0036-1410, 2014, Volume 46, Issue 1, pp. 939 - 997
Journal Article
Nonlinear Analysis, ISSN 0362-546X, 03/2018, Volume 168, pp. 110 - 129
We study minimal mass blow-up solutions of the focusing critical nonlinear Schrödinger equation with inverse-square potential, with and . We first prove a... 
[formula omitted] critical NLS | Sharp global well-posedness | Inverse-square potential | Finite time blow-up | Classification | critical NLS
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 07/2013, Volume 88, Issue 1, p. 013207
We present a systematic classification for higher-order rogue-wave solutions of the nonlinear Schrodinger equation, constructed as the nonlinear superposition... 
OPTICAL-FIBER | NLS EQUATION | PHYSICS, MATHEMATICAL | PHYSICS, FLUIDS & PLASMAS | SOLITON
Journal Article
Comptes rendus - Mathématique, ISSN 1631-073X, 03/2015, Volume 353, Issue 3, pp. 235 - 240
We investigate the behavior of solutions to 2D nonlinear Schrödinger equations with exponential growth, where the Orlicz norm plays a crucial role. The... 
MATHEMATICS | NLS | COMPACTNESS
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 09/2012, Volume 86, Issue 3, p. 036604
General rogue waves in the Davey-Stewartson-I equation are derived by the bilinear method. It is shown that the simplest (fundamental) rogue waves are line... 
WATER-WAVES | NLS EQUATION | NONLINEAR SCHRODINGER-EQUATION | PHYSICS, MATHEMATICAL | PHYSICS, FLUIDS & PLASMAS | Models, Chemical | Computer Simulation
Journal Article
Mathematical Methods in the Applied Sciences, ISSN 0170-4214, 12/2019, Volume 42, Issue 18, pp. 7096 - 7112
In this paper, we give a new proof of the scattering and blow‐up theory of the two coupled nonlinear Schrödinger system via establishing the corresponding... 
coupled NLS system | Morawetz estimate | scattering | blowup | Scattering
Journal Article
The EMBO Journal, ISSN 0261-4189, 05/2016, Volume 35, Issue 10, pp. 1077 - 1097
Journal Article
Nonlinear Analysis, ISSN 0362-546X, 03/2020, Volume 192, p. 111665
We study the stability theory of solitary wave solutions for a type of derivative nonlinear Schrödinger equation The equation has a two-parameter family of... 
Derivative NLS | Orbital instability | Solitary wave solutions | Degenerate case
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 11/2018, Volume 51, Issue 49, p. 495202
In this work, we study solitary waves in a (2 + 1)-dimensional variant of the defocusing nonlinear Schrodinger (NLS) equation, the so-called Camassa-Holm-NLS... 
antidark solitons | dark solitons | Camassa-Holm-NLS | multiscale expansion | PHYSICS, MULTIDISCIPLINARY | RING DARK SOLITONS | MULTISCALE EXPANSIONS | SYSTEMS | MEDIA | AMPLITUDE | PHYSICS, MATHEMATICAL | Camassa-Hohn-NLS
Journal Article
Journal of Optics (United Kingdom), ISSN 2040-8978, 06/2013, Volume 15, Issue 6, p. 60201
Journal Article
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