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Nonlinear dynamics, ISSN 1573-269X, 12/2015, Volume 84, Issue 3, pp. 1157 - 1161
A (3 + 1)-dimensional partially nonlocal nonlinear Schrodinger equation is considered, and approximate spatiotemporal Hermite-Gaussian soliton solutions are obtained using the Hirota method... 
Spatiotemporal Hermite–Gaussian solitons | Nonlinear Schrödinger equation | Partially nonlocal nonlinearity | Mechanics | Engineering | Technology | Engineering, Mechanical | Science & Technology | Gaussian processes | Solitary waves | Schroedinger equation | Nonlinear dynamics | Nonlinearity | Approximation | Solitons
Journal Article
Nonlinear Dynamics, ISSN 0924-090X, 11/2018, Volume 94, Issue 3, pp. 1921 - 1932
Journal Article
Nonlinear dynamics, ISSN 1573-269X, 03/2016, Volume 85, Issue 2, pp. 813 - 816
This paper applied the trial solution technique to chiral nonlinear Schrodinger’s equation in (1 $$+$$ + 2)-dimensions. This led to solitons and other solutions to the model... 
Chiral NLSE | Engineering | Vibration, Dynamical Systems, Control | Solitons and singular periodic solutions | Mechanics | Trial solution technique | Automotive Engineering | Mechanical Engineering | Solitary waves | Nonlinear equations | Schroedinger equation
Journal Article
New journal of physics, ISSN 1367-2630, 11/2014, Volume 16, Issue 11, pp. 115007 - 17
.... We show that, while in the former case the Schrodinger equation stays linear, in the latter case one ends up with the so-called Schrodinger-Newton equation, which involves a nonlinear, non-local... 
semi-classical gravity | collapse of the wave-function | Schrödinger-Newton equation | Physics, Multidisciplinary | Physical Sciences | Physics | Science & Technology | Gravitational fields | Signaling | Gravitation | Schroedinger equation | Quantum gravity | Gravitational collapse | Collapse | Mathematical analysis | Nonlinearity | Mathematical models | Signalling
Journal Article
Annals of physics, ISSN 0003-4916, 02/2014, Volume 341, pp. 142 - 152
... Schrödinger equation with linear and parabolic potentials and a standard nonlinear Schrödinger equation is given, and an exact superposed Akhmediev breather solution in certain parameter conditions is obtained... 
Superposed Akhmediev breather | Controllable dynamical behaviors | Nonlinear Schrödinger equation | Physics, Multidisciplinary | Physical Sciences | Physics | Science & Technology | Chirp | Diffraction | Nonlinearity | Controllability | Evolution | Schroedinger equation | Terminals | Gain | MATHEMATICAL SOLUTIONS | EXCITATION | PEAKS | NONLINEAR PROBLEMS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | EQUATIONS | DIFFRACTION | AMPLITUDES | POTENTIALS | GAIN
Journal Article
International journal of modern physics. A, Particles and fields, gravitation, cosmology, ISSN 1793-656X, 06/2019, Volume 34, Issue 15, p. 1950074
In this paper, we discuss the relation between the [Formula: see text]D nonlinear Schrödinger equation and the KdV equation... 
Physical Sciences | Physics, Nuclear | Physics, Particles & Fields | Physics | Science & Technology
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... 
extended phase space | quantum gravity | The Wheeler-DeWitt equation
Journal Article
Nonlinearity, ISSN 1361-6544, 02/2016, Volume 29, Issue 2, pp. 319 - 324
Two new integrable nonlocal Davey-Stewartson equations are introduced. These equations provide two-spatial dimensional analogues of the integrable, nonlocal... 
integrable nonlocal Davey-Stewartson | nonlocal dbar | PT symmetry | Physical Sciences | Mathematics | Mathematics, Applied | Physics | Physics, Mathematical | Science & Technology | Construction | Mathematical analysis | Nonlinearity | Initial value problems | Schroedinger equation | Two dimensional | Nonlinear optics | Symmetry
Journal Article
Mathematical models & methods in applied sciences, ISSN 0218-2025, 07/2015, Volume 25, Issue 8, pp. 1447 - 1476
We investigate a class of nonlinear Schrodinger equations with a generalized Choquard nonlinearity and fractional diffusion... 
existence | multiplicity | nonexistence | Fractional Laplacian | Choquard equation | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
Journal Article
Modern Physics Letters B, ISSN 0217-9849, 10/2017, Volume 31, Issue 29, p. 1750269
Journal Article
Journal of physics. A, Mathematical and theoretical, ISSN 1751-8121, 07/2011, Volume 44, Issue 30, pp. 305203 - 22
... equation are given explicitly by different seed solutions. In particular, the rogue wave and rational traveling solution are two kinds of new solutions... 
Physics, Multidisciplinary | Physical Sciences | Physics | Physics, Mathematical | Science & Technology | Transformations (mathematics) | Mathematical analysis | Classification | Solitons | Determinants | Nonlinearity | Schroedinger equation | Derivatives
Journal Article