Nonlinear Waves, Solitons and Chaos

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Cambridge University Press, Jul 13, 2000 - Mathematics - 391 pages
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This revised and updated second edition of a highly successful text embraces a universal approach to three major developments in classical physics: namely, nonlinear waves, solitons, and chaos. The authors include new material on biology and laser theory, and go on to discuss important recent developments such as soliton metamorphosis. They also offer a new section on a direct method to study transverse instabilities of pulse-like structures. A comprehensive treatment of basic plasma and fluid configurations and instabilities is followed by a study of the relevant nonlinear structures. Additional key features comprise color illustrations of soliton dynamics and end-of-chapter problems. In general, it will be of value to final year undergraduates and beginning graduate students studying fluid dynamics, plasma physics and applied mathematics.
 

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Contents

III
1
IV
3
V
5
VII
8
VIII
9
X
12
XII
14
XIII
18
LXXXV
196
LXXXVI
199
LXXXVII
200
LXXXVIII
202
LXXXIX
204
XC
206
XCI
207
XCII
211

XV
22
XVI
23
XVII
25
XVIII
30
XIX
33
XX
43
XXI
47
XXII
48
XXIII
50
XXIV
54
XXV
56
XXVI
57
XXVIII
61
XXIX
66
XXX
68
XXXI
71
XXXII
72
XXXIII
73
XXXIV
75
XXXV
81
XXXVI
82
XXXVII
83
XXXVIII
85
XXXIX
89
XL
91
XLI
92
XLIII
98
XLIV
100
XLV
102
XLVI
104
XLVII
107
XLVIII
111
XLIX
114
L
119
LII
123
LIII
124
LV
129
LVI
132
LVII
134
LVIII
136
LIX
139
LX
143
LXI
144
LXII
145
LXIII
146
LXIV
147
LXVI
150
LXVII
152
LXVIII
159
LXIX
164
LXX
166
LXXI
168
LXXII
171
LXXIII
173
LXXIV
175
LXXV
177
LXXVI
178
LXXVII
180
LXXVIII
181
LXXIX
183
LXXX
188
LXXXI
192
LXXXII
193
LXXXIII
194
LXXXIV
195
XCIII
212
XCIV
213
XCV
214
XCVI
219
XCVII
220
XCVIII
223
XCIX
224
CI
230
CII
231
CIII
233
CIV
236
CV
244
CVI
245
CVII
246
CVIII
249
CIX
252
CX
253
CXI
254
CXII
257
CXIV
258
CXV
259
CXVI
263
CXVII
264
CXIX
265
CXX
268
CXXI
269
CXXII
271
CXXIII
272
CXXV
273
CXXVI
275
CXXVII
277
CXXIX
280
CXXX
284
CXXXI
287
CXXXIII
288
CXXXV
291
CXXXVI
292
CXXXVII
294
CXXXVIII
296
CXXXIX
297
CXL
301
CXLII
302
CXLIII
303
CXLV
304
CXLVI
311
CXLVII
326
CXLVIII
329
CXLIX
340
CL
341
CLI
343
CLII
344
CLIII
345
CLIV
346
CLV
347
CLVI
349
CLVII
351
CLVIII
352
CLIX
354
CLX
356
CLXI
358
CLXII
360
CLXIII
379
CLXIV
387
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