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Journal of Modern Optics, ISSN 0950-0340, 11/2013, Volume 60, Issue 19, pp. 1627 - 1636
In this paper, the resonant nonlinear Schrödinger's equation is studied with four forms of nonlinearity. This equation is also considered with time-dependent... 
integrability | solitons | Integrability | Solitons | MKDV EQUATION | DIFFERENTIAL-EQUATIONS | WAVE SOLUTIONS | OPTICS | SUB-ODE METHOD | VARIABLE-COEFFICIENT | Optical fibers | Mathematical analysis | Nonlinear evolution equations | Tools | Nonlinearity | Schroedinger equation
Journal Article
Optics Letters, ISSN 0146-9592, 03/2015, Volume 40, Issue 6, pp. 1117 - 1120
In quantum mechanics, the space-fractional Schrodinger equation provides a natural extension of the standard Schrodinger equation when the Brownian... 
IMPLEMENTATION | OPTICS | QUANTUM-MECHANICS | OSCILLATOR | AIRY BEAM | LASER | Integrals | Dynamics | Quantum mechanics | Holes | Optical pumping | Schroedinger equation | Laser beams | Standards
Journal Article
Nonlinear Dynamics, ISSN 0924-090X, 12/2015, Volume 82, Issue 4, pp. 1775 - 1780
In this paper, we establish exact soliton solutions for the Davey–Stewartson equation. The trial equation method and the ansatz approach are used to construct... 
Davey–Stewartson equation | Engineering | Vibration, Dynamical Systems, Control | Ansatz approach | Mechanics | Trial equation method | Automotive Engineering | Mechanical Engineering | Davey-Stewartson equation | TRAVELING-WAVE SOLUTIONS | MECHANICS | 1-SOLITON SOLUTION | ENGINEERING, MECHANICAL | Solitary waves | Schroedinger equation
Journal Article
International Journal of Modern Physics D, ISSN 0218-2718, 04/2018, Volume 27, Issue 6, p. 1841004
The Wheeler–DeWitt equation was proposed 50 years ago and until now it is the cornerstone of most approaches to quantization of gravity. One can find in the... 
extended phase space | quantum gravity | The Wheeler-DeWitt equation | EXTENDED PHASE-SPACE | FORMULATION | GRAVITY | RELATIVISTIC SYSTEMS | IX MODEL | ASTRONOMY & ASTROPHYSICS | HAMILTONIAN-DYNAMICS | CONSTRAINTS | QUANTIZATION | UNIVERSE | QUANTUM GEOMETRODYNAMICS
Journal Article
Nonlinear Analysis, ISSN 0362-546X, 09/2019, Volume 186, pp. 209 - 218
This paper is concerned with an existence and stability result on the nonlinear derivative Schrödinger equation in 1-D, which is originated by the study of the... 
SYSTEM | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | ENERGY WEAK SOLUTIONS | WELL-POSEDNESS | MODEL | Fluid dynamics | Operators (mathematics) | Fluid mechanics | Compressibility | Stability | Computational fluid dynamics | Nonlinear analysis | Fluid flow | Hydrodynamics | Schroedinger equation | Euler-Lagrange equation | Steady state
Journal Article
International Journal of Control, ISSN 0020-7179, 02/2019, Volume 92, Issue 2, pp. 416 - 430
In this work, we study the dynamic behaviour for a heat equation with exponential polynomial kernel memory to be a controller for a Schrödinger system. By... 
heat equation with memory | asymptotic analysis | spectrum | Schrödinger equation | Riesz basis | exponential stability | Schrodinger equation | REGULARITY | CONTROLLABILITY | AUTOMATION & CONTROL SYSTEMS | Thermodynamics | Schroedinger equation | Eigenvectors | Polynomials | Feedback control | Markov analysis
Journal Article
Pramana, ISSN 0304-4289, 7/2019, Volume 93, Issue 1, pp. 1 - 3
This comment deals with the new auxiliary equation method (Khater method) introduced by Mostafa M A Khater, Aly R Seadawy and Dianchen Lu in Pramana – J. Phys.... 
Doubtful Khater method | Astrophysics and Astroparticles | doubtful exact solutions | amended Khater method | Physics, general | Physics | Astronomy, Observations and Techniques
Journal Article
Nonlinearity, ISSN 0951-7715, 02/2016, Volume 29, Issue 3, pp. 915 - 946
A nonlocal nonlinear Schrodinger (NLS) equation was recently introduced and shown to be an integrable infinite dimensional Hamiltonian evolution equation. In... 
left-right Riemann-Hilbert problem | integrable nonlocal NLS equation | PT symmetry | MATHEMATICS, APPLIED | PHYSICS, MATHEMATICAL | Inverse scattering | Mathematical analysis | Transforms | Solitons | Nonlinearity | Evolution | Schroedinger equation | Cauchy problem
Journal Article
New Journal of Physics, ISSN 1367-2630, 11/2014, Volume 16, Issue 11, pp. 115007 - 17
Journal Article
IEEE Transactions on Automatic Control, ISSN 0018-9286, 01/2012, Volume 57, Issue 1, pp. 179 - 185
Journal Article
PLoS ONE, ISSN 1932-6203, 02/2018, Volume 13, Issue 2, p. e0192281
In this paper, we investigate two types of nonlocal soliton equations with the parity-time (PT) symmetry, namely, a two dimensional nonlocal nonlinear... 
FERROMAGNETIC SPIN CHAIN | TRANSFORMATION | EXISTENCE | RATIONAL SOLUTIONS | MULTIDISCIPLINARY SCIENCES | BREATHERS | SOLITARY SOLUTIONS | Singularities | Partial differential equations | Optics | Waves | Optical waveguides | Information science | Mathematical analysis | Klein-Gordon equation | Schroedinger equation | Mathematical models | Solitary waves | Symmetry | Breathers
Journal Article