Solitons: An Introduction

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Cambridge University Press, Feb 9, 1989 - Mathematics - 226 pages
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Solitons: An Introduction discusses the theory of solitons and its diverse applications to nonlinear systems that arise in the physical sciences. Drazin and Johnson explain the generation and properties of solitons, introducing the mathematical technique known as the Inverse Scattering Tranform. Their aim is to present the essence of inverse scattering clearly, rather than rigorously or completely. Thus, the prerequisites are merely what is found in standard courses on mathematical physics and more advanced material is explained in the text with useful references to further reading given at the end of each chapter. Worked examples are frequently used to help the reader follow the various ideas and the exercises at the end of each chapter not only contain applications but also test understanding. Answers, or hints to their solution, are given at the end of the book. Sections and exercises that contain more difficult material are indicated by asterisks.
 

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Contents

I
1
II
7
III
12
IV
15
V
16
VI
17
VII
20
VIII
21
XLIV
102
XLV
103
XLVI
106
XLVII
109
XLVIII
110
XLIX
116
L
118
LII
127

IX
22
X
26
XI
29
XII
30
XIII
32
XIV
33
XV
39
XVI
40
XVII
44
XVIII
45
XIX
48
XX
56
XXI
57
XXII
58
XXIII
60
XXIV
61
XXV
64
XXVI
65
XXVII
67
XXVIII
68
XXIX
70
XXX
71
XXXI
72
XXXII
73
XXXIII
74
XXXIV
78
XXXV
81
XXXVI
83
XXXVII
89
XXXIX
92
XL
95
XLI
97
XLIII
99
LIII
128
LIV
131
LV
137
LVI
140
LVII
142
LVIII
143
LIX
144
LX
146
LXI
149
LXIII
151
LXIV
152
LXV
154
LXVI
157
LXVII
162
LXIX
169
LXX
171
LXXI
172
LXXII
174
LXXIII
177
LXXIV
180
LXXV
182
LXXVI
183
LXXVII
184
LXXVIII
186
LXXIX
187
LXXXII
190
LXXXIII
196
LXXXIV
201
LXXXV
205
LXXXVI
213
LXXXVII
220
LXXXVIII
221
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Elementary Fluid Dynamics
D. J. Acheson
No preview available - 1990
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About the author (1989)

Norman Riley is an Emeritus Professor of Applied Mathematics at the University of East Anglia.

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