Soliton Theory: A Survey of Results

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Allan P. Fordy
Manchester University Press, Jan 1, 1990 - Evolution equations, Nonlinear - 449 pages
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A coherent introduction to the complete range of soliton theory including Hirota's method and Backlund transformations. Details physical applications of soliton theory with chapters on the peculiar wave patterns of the Andaman Sea, atmospheric phenomena, general relativity and Davydov solitons. Contains testing for full integrability, a discussion of the Painlevé technique, symmetries and conservation law.
  

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Contents

Spectral transforms P J Caudrey
25
Twodimensional spectral transforms P J Caudrey
55
Hirotas method J C Nimmo
75
Backlund transformations in soliton theory C Rogers
97
Why the NLS equation is simultaneously a success
133
The generation and propagation of internal solitons
152
General relativity R K Dodd
174
Soliton models of protein dynamics P S Lomdahl
208
Hamiltonian structures and complete integrability
235
Hamiltonian structure of nonlinear evolution
273
Integrable equations associated with simple
315
Prolongation structures of nonlinear evolution
403
Painleve property for partial differential
427
Index
447
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