孤子波

出版时间:1999-4   出版时间:世界图书出版公司   作者:M.Remoissenet   页数:260  
封面图片

孤子波
内容概要

Chapter 1 was expanded by a discussion of the discovery of solitons in the field of electromagnetic waves and optics. A new section devoted to nonlinear transmission lines and their applications in the microwave range has been added to Chap. 3. It seems to me that it was important to describe laboratory experiments on modulational instability, and subsequent generation of solitons, both in electrical transmission lines and in deep water in Chaps. 4 and 5. A description of a very simple experimental pocket version of the mechanical transmission line has been included in Chap. 6. Such a versatile and useful device should stimulate a practical approach to soliton physics. Chapter 7 was completed by a short presentation of some recent experimental results on discrete Josephson transmission lines. A discussion of the experimental modulational instability of coupled optical waves and a simple look at quantum solitons were added to Chap. 8 in order to introduce the reader to such remarkable topics.
书籍目录

1
Basic
Concepts
and
the
Discovery
of
Solitons. 1.1
A
look
at
linear
and
nonlinear
signatures. 1.2
Discovery
of
the
solitary
wave 1.3
Discovery
of
the
soliton 1.4
The
soliton
concept
in
physics2
Linear'
VVaves
in
Electrical
Transmission
Lines 2.1
Linear
nondispersive
waves 2.2
Sinusoidal-wave
characteristics  2.2.1
Wave
energy
density
and
power 2.3
The
group-velocity
concept 2.4
Linear
dispersive
waves  2.4.1
Dispersive
transmission
lines  2.4.2
Electrical
network  2.4.3
The
weakly
dispersive
limit 2.5
Evolution
of
a
wavepacket
envelope 2.6
Dispersion-induced
wavepacket
broadening. Appendix
2A.
General
solution
for
the
envelope
evolution. Appendix
2B
Evolution
of
the
envelope
of
a
Gaussian
wavepacket.3
Solitons
in
Nonlinear
Transmission
Lines 3.1
Nonlinear
and
dispersionless
transmission
lines 3.2
Combined
effects
of
dispersion
and
nonlinearity 3.3
Electrical
solitary
waves
and
pulse
solitons 3.4
Laboratory
experiments
on
pulse
solitons  3.4.1
Experimental
arrangement  3.4.2
Series
of
experiments 3.5
Experiments
with
a
pocket
version
of
the
electrical
network 3.6
Nonlinear
transmission
lines
in
the
microwave
range Appendix
3A.
Calculation
of
the
effect
of
nonlinearity
on
wave
propagation Appendix
3B.
Derivation
of
the
solitary-wave
solution Appendix
3C.
Derivation
of
the
KdV
equation
and
its
soliton
solution Appendix
3D
Details
of
the
electronics:switch
driver
and
pulse
generator4
More
on
Transmission-Line
Solitons 4.1
Lattice
solitons
in
the
electrical
Toda
network  4.1.1
Lattice
solitons 4.2
Experiments
on
lattice
solitons  4.2.1
Collisions
of
two
lattice
soliton
smovine
in
opposite
directions.  4.2.2
The
Fermi-Pasta-LJlam
recurrence
phenomenon 4.3
Periodic
wavetrains
in
transmission
lines  4.3.1
The
solitary
wave
limit
and
sinusoidal
limit
of
the
cnoidal
wave. 4.4
Modulated
waves
and
the
nonlinear
dispersion
relation 4.5
Envelope
and
hole
solitons  4.5.1
Experiments
on
envelope
and
hole
soliton 4.6
Modulational
instability 4.7
Laboratory
experiments
on
modulational
instability  4.7.1
Model
equations  4.7.2
Experiments 4.8
Modulational
instability
oftwo
coupled
waves Appendix
4A.
Periodic
wavetrain
solutions Appendix
4B.
The
Jacobi
elliptic
functions  4B.1
Asymptotic
limits.  48.2
Derivatives
and
integrals Appendix
4C
Envelope
and
hole
soliton
solutions5
Hydrodynamic
Solitons 5.1
Equations
for
surface
water
waves  5.1.1
Reduced
fluid
equations 5.2
Small-amplitude
surface
gravity
waves……6
Mcchanical
Solitons7
Fluxons
in
Josephson
Transmission
Lines8
Solitons
in
Optical
Fibers9
The
Soliton
Concept
in
Lattice
Dynamics10
A
Look
at
Some
Remarkable
Mathematical
TechniquesReferencesSubject
Index
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