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The Nonlinear Schrödinger Equation

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Cover of 'The Nonlinear Schrödinger Equation'

Table of Contents

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    Book Overview
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    Chapter 1 Derivation of the NLS
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    Chapter 2 Linear Propagation
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    Chapter 3 Early Self-focusing Research
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    Chapter 4 NLS Models
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    Chapter 5 Existence of NLS Solutions
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    Chapter 6 Solitary Waves
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    Chapter 7 Variance Identity
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    Chapter 8 Symmetries and the Lens Transformation
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    Chapter 9 Stability of Solitary Waves
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    Chapter 10 The Explicit Critical Singular Peak-Type Solution $$\psi _{R}^\mathrm{explicit}$$ ψ R explicit
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    Chapter 11 The Explicit Critical Singular Ring-Type Solution $$\psi _G^\mathrm{explicit}$$ ψ G explicit
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    Chapter 12 The Explicit Supercritical Singular Peak-Type Solution $$\psi _Q^\mathrm{{explicit}}$$ ψ Q explicit
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    Chapter 13 Blowup Rate, Blowup Profile, and Power Concentration
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    Chapter 14 The Peak-Type Blowup Profile $$\psi _{R^{(0)}}$$
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    Chapter 15 Vortex Solutions
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    Chapter 16 NLS on a Bounded Domain
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    Chapter 17 Derivation of Reduced Equations
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    Chapter 18 Loglog Law and Adiabatic Collapse
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    Chapter 19 Singular $$H^1$$ H 1 Ring-Type Solutions ( $$\psi _G$$ ψ G )
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    Chapter 20 Singular $$H^1$$ H 1 Vortex Solutions $$\big (\psi _{R_m}$$ ( ψ R m and $$\psi _{G_m}\big )$$ ψ G m )
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    Chapter 21 Singular $$H^1$$ H 1 Peak-Type Solutions $$\big (\psi _Q\big )$$ ( ψ Q )
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    Chapter 22 Singular Standing-Ring Solutions $$\big (\psi _F\big )$$
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    Chapter 23 Singular Shrinking-Ring Solutions $$\big (\psi _S\big )$$ ( ψ S )
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    Chapter 24 Critical and Threshold Powers for Collapse ( $${P_\mathrm{cr}}$$ P cr and $${P_\mathrm{th}}$$ P th )
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    Chapter 25 Multiple Filamentation
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    Chapter 26 Nonlinear Geometrical Optics (NGO) Method
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    Chapter 27 Location of Singularity ( $$Z_\mathrm{c}$$ Z c )
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    Chapter 28 Computation of Solitary Waves
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    Chapter 29 Numerical Methods for the NLS
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    Chapter 30 Effects of Spatial Discretization
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    Chapter 31 Modulation Theory
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    Chapter 32 Cubic-Quintic and Saturated Nonlinearities
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    Chapter 33 Linear and Nonlinear Damping
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    Chapter 34 Nonparaxiality and Backscattering (Nonlinear Helmholtz Equation)
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    Chapter 35 Ultrashort Pulses
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    Chapter 36 Normal and Anomalous Dispersion
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    Chapter 37 NGO Method for Ultrashort Pulses with Anomalous Dispersion
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    Chapter 38 Continuations Beyond the Singularity
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    Chapter 39 Loss of Phase and Chaotic Interactions
Overall attention for this book and its chapters
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Title
The Nonlinear Schrödinger Equation
Published by
Springer International Publishing, January 2015
DOI 10.1007/978-3-319-12748-4
ISBNs
978-3-31-912747-7, 978-3-31-912748-4
Authors

Fibich, Gadi, Gadi Fibich

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The data shown below were collected from the profiles of 3 X users who shared this research output. Click here to find out more about how the information was compiled.
Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 64 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 64 100%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 22 34%
Researcher 7 11%
Professor 6 9%
Student > Doctoral Student 3 5%
Student > Postgraduate 3 5%
Other 9 14%
Unknown 14 22%
Readers by discipline Count As %
Physics and Astronomy 25 39%
Mathematics 14 22%
Engineering 3 5%
Agricultural and Biological Sciences 1 2%
Computer Science 1 2%
Other 4 6%
Unknown 16 25%