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

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

Coupled higgs equation | Schrödinger-Boussinesq equation | Hirota technique | Rogue wave | Physics, Multidisciplinary | Physical Sciences | Physics | Science & Technology

Journal Article

2006, ISBN 9789812568069, xvi, 240

Book

4.
Evolution equations of hyperbolic and Schrödinger type

: asymptotics, estimates and nonlinearities

2012, 1. Aufl., Progress in mathematics, ISBN 9783034804530, Volume 301, viii, 324

Evolution equations of hyperbolic or more general p-evolution type form an active field of current research...

Differential equations, Hyperbolic | Schrödinger equation | Evolution equations | Global Analysis and Analysis on Manifolds | Operator Theory | Mathematics | Mathematics and Statistics | Calculus of Variations and Optimal Control; Optimization | Partial Differential Equations | Schrodinger equation

Differential equations, Hyperbolic | Schrödinger equation | Evolution equations | Global Analysis and Analysis on Manifolds | Operator Theory | Mathematics | Mathematics and Statistics | Calculus of Variations and Optimal Control; Optimization | Partial Differential Equations | Schrodinger equation

Book

2011, ISBN 1848167245, xix, 354

Book

2011, ISBN 9789814360739, xiv, 283

Book

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

Solitary wave solutions | Simple equation method | Unstable nonlinear Schrödinger equation | Solitons | Modify unstable nonlinear Schrödinger equation | Optics | Physical Sciences | Science & Technology

Journal Article

2015, ISBN 1611973937, x, 429

Book

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

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

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

We use the method of multiple scales to derive a sixth-order nonlinear Schrödinger equation governing the evolution of slowly modulated plane-wave solutions to the nonlinear Klein...

Engineering | Vibration, Dynamical Systems, Control | Nonlinear Klein–Gordon equation | Method of multiple scales | Nonlinear dispersion | Classical Mechanics | Automotive Engineering | Mechanical Engineering | Nonlinear Schrödinger equation | Envelope | Multiple-scale analysis | Mechanics | Technology | Engineering, Mechanical | Science & Technology | Nonlinearity | Schroedinger equation | Polynomials | Klein-Gordon equation | Wave packets

Engineering | Vibration, Dynamical Systems, Control | Nonlinear Klein–Gordon equation | Method of multiple scales | Nonlinear dispersion | Classical Mechanics | Automotive Engineering | Mechanical Engineering | Nonlinear Schrödinger equation | Envelope | Multiple-scale analysis | Mechanics | Technology | Engineering, Mechanical | Science & Technology | Nonlinearity | Schroedinger equation | Polynomials | Klein-Gordon equation | Wave packets

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

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

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

Optical solitons | Hermite-Gaussian vortex solitons | Nonlinear Schrödinger equation | Physics, Condensed Matter | Physical Sciences | Physics | Science & Technology

Journal Article

Optical and quantum electronics, ISSN 1572-817X, 07/2017, Volume 49, Issue 8, pp. 1 - 15

...–time fractional Schrödinger–Hirota equation and the space–time fractional modified KDV...

Modified KDV–Zakharov–Kuznetsov equation | Conformable fractional derivative | First integral method | Optics, Lasers, Photonics, Optical Devices | Characterization and Evaluation of Materials | Schrödinger–Hirota equation | Computer Communication Networks | Physics | Functional variable method | Electrical Engineering | Differential equations | Aerospace engineering

Modified KDV–Zakharov–Kuznetsov equation | Conformable fractional derivative | First integral method | Optics, Lasers, Photonics, Optical Devices | Characterization and Evaluation of Materials | Schrödinger–Hirota equation | Computer Communication Networks | Physics | Functional variable method | Electrical Engineering | Differential equations | Aerospace engineering

Journal Article

2007, ISBN 9812706380, xiii, 262

Book

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

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