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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... 
Nonlinear systems | Schrödinger equation | Nonlinear wave equations | Quantum Physics | Theoretical, Mathematical and Computational Physics | Physics and Astronomy | Physics
Book
J Phys Soc Jpn, ISSN 0031-9015, 8/2012, Volume 81, Issue 8, pp. 084001 - 084001-6
In this work, firstly it is shown that the coupled Schrödinger--Boussinesq equation, which governs the nonlinear propagation of coupled Langmuir and dust... 
Coupled higgs equation | Schrödinger-Boussinesq equation | Hirota technique | Rogue wave | Physics, Multidisciplinary | Physical Sciences | Physics | Science & Technology
Journal Article
Optik (Stuttgart), ISSN 0030-4026, 07/2017, Volume 140, pp. 136 - 144
•Unstable nonlinear Schrödinger equation is considered.•Extended simple equation method is discussed... 
Solitary wave solutions | Simple equation method | Unstable nonlinear Schrödinger equation | Solitons | Modify unstable nonlinear Schrödinger equation | Optics | Physical Sciences | Science & Technology
Journal Article
Journal of physics. Condensed matter, ISSN 0953-8984, 08/2016, Volume 28, Issue 39, pp. 396003 - 396003
The derivation of the time dependent Schrodinger equation with transversal and longitudinal relaxation, as the quantum mechanical analog of the classical Landau-Lifshitz-Bloch equation, has been described... 
Landau-Lifshitz-Bloch equation | spin dynamics | time dependent Schrodinger equation | Physics, Condensed Matter | Physical Sciences | Physics | Science & Technology
Journal Article
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
Optik (Stuttgart), ISSN 0030-4026, 09/2017, Volume 145, pp. 79 - 88
In optical fibers, the higher order nonlinear Schrödinger equations describe propagation of ultra-short pluse... 
Nonlinear higher order Schrödinger equations | Positive non-integers balance numbers | Solitary wave solutions | Modified simple equation method | Solitons | Optics | Physical Sciences | Science & Technology
Journal Article
Computers & mathematics with applications (1987), ISSN 0898-1221, 04/2018, Volume 75, Issue 7, pp. 2499 - 2507
In this paper, we consider the stability of standing waves for the fractional Schrödinger–Choquard equation with an L2-critical nonlinearity... 
Fractional Schrödinger-Choquard equation | Orbital stability of standing waves | [formula omitted]-critical nonlinearity | critical nonlinearity | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
Journal Article
Superlattices and microstructures, ISSN 0749-6036, 01/2017, Volume 101, pp. 522 - 528
In this paper, a nonlinear Schrödinger equation (NLS) has been studied, which can describe the propagation and interaction of optical solitons in a material with x-directional localized and y-directional nonlocal non-linearities... 
Optical solitons | Hermite-Gaussian vortex solitons | Nonlinear Schrödinger equation | Physics, Condensed Matter | Physical Sciences | Physics | Science & Technology
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