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Soliton theory:

a survey of results
Front Cover
Allan P Fordy
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Manchester University Press, 1990 - Solitons - 449 pages
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
Copyright

Other editions - View all

Soliton theory: a survey of results
Soliton theory: a survey of results
Allan P. Fordy
Snippet view - 1990

Common terms and phrases

AKNS amide-I amplitude analytic Andaman Sea arbitrary asymptotic auto-Backlund transformation Backlund transformation bilinear boundary canonical Chapter coefficients commutation complete integrability consider constant construction coordinates corresponding Davydov Davydov solitons defined deformation problem denote dependence derivative differential equations eigenvalues elements energy equa example field equations finite finite-gap flows follows Fordy function generalised given gives Hamiltonian operators Hamiltonian structure Hamiltonian system Hirota Hirota equation infinite integrable systems internal soliton internal waves invariant inverse scattering isospectral Kadomtsev-Petviashvili equation KdV equation KdV hierarchy Korteweg-de Vries equation KP equation Krichever Lax equation Lax pair Lett Manakov Math Mathematics matrix method Miura map MKdV N-soliton solution NLS equation non-trivial nonlinear nonlinear evolution equations obtained Painleve Phys physical Poisson bracket poles polynomial potential pulse relations representation resonance satisfies scattering problem Section simple Lie algebras sine-Gordon equation singular solved stationary theorem tion variables vector Zakharov zero

References to this book

From other books

Kinks and Domain Walls: An Introduction to Classical and Quantum Solitons
Kinks and Domain Walls: An Introduction to Classical and Quantum Solitons
Tanmay Vachaspati
Limited preview - 2006
The Painlevâe Handbook
The Painlevâe Handbook

Limited preview - 2008
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Bibliographic information

QR code for Soliton theory
TitleSoliton theory: a survey of results
Nonlinear science
Nonlinear science: theory and applications
Remains, Historical and Literary, Connected with the Palatin
EditorAllan P Fordy
ContributorAllan P Fordy
Editionillustrated
PublisherManchester University Press, 1990
ISBN0719014913, 9780719014918
Length449 pages
  
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