Nonlinear Evolution Equations
Integrability and Spectral Methods
Wiley (Publisher)
Published on 23. March 1992
Book
Hardback
638 pages
978-0-471-93501-8 (ISBN)
Description
Soliton theory is an interdisciplinary subject which has had an impact on both mathematics and physical science. This volume contains a selection of papers on soliton theory presented at the workshop "Nonlinear Evolution Equations: Integrability and Spectral Methods", held in Italy in 1988.
More details
Series
Language
English
Place of publication
Chichester
United Kingdom
Publishing group
John Wiley and Sons Ltd
Target group
College/higher education
Professional and scholarly
Dimensions
Height: 240 mm
Width: 157 mm
Weight
960 gr
ISBN-13
978-0-471-93501-8 (9780471935018)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Classification
Persons
Editor
Department of Physics, University of Rome, Italy
Lecturer in Applied Mathematics, Centre for Nonlinear Studies, University of Leeds, UK
Department of Physics, Baharathidasan University, Tamilnadu, India
Content
Part 1 Inverse spectral methods and other solution techniques: some recent results in solitons theory, A.S. Fokas; the spectral problem for the Davey-Stewartson and Ishmori hierarchies, R. Beals and R.R. Coifman; exact solutions of nonlinear evolution equations in the strong coupling limit, C.L. Schultz and M.J. Ablowitz; rational reflection coefficients, D. Atkinson; two-dimensional spectral transforms, P.J. Caudrey; integro-differential evolution equations associated with a Riemann-Hilbert spectral problem, A. Degasperis; inverse scattering and forced nonlinear systems, R. Carroll; initial value problems for the Burgers equation, S. DeLillo; cauchy problem for the sine-Gordon equation with periodic initial conditions, M. Jaworski; singular general evolutions in 1+1 and 2+1 dimensions, J.J. Leon and F. Pempinelli; Geroch group and inverse scattering method, D. Maison; explicit form of Backlund transformations for GL(N), u(N) and O(2N) principal chiral fields, Gu Chao Hao and Zhou Zixiang; a study of two evolution equations using the wronskian technique, N.C. Freeman and C. Gilson; wronskians and multicomponent KP hierarchies, J.J.C. Nimmo; exact solutions of the Zabolotskaya-Khokhlov equation, J. Gibbons and Y. Kodama. Part 2 Painleve and singularity manifolds: the soliton singularity transform, B. Fuchssteiner and S. Carillo; Painleve-Backlund transformation for the Kuramoto-Sivashinsky equation, M. Mussette; Painleve analysis and Backlund transformation of the non-integrable KPP partial differential equation, R. Conte; rigorous non-integrability results related to singularity analysis, A. Ramani et al; Painleve property and pseudopotentials for nonlinearrevolution equations, M.C. Nucci; lie-group-similarity analysis of coupled nonlinear Schrodinger equations, G. Baumann and J.F. Nonnenmacher; Painleve analysis and solutions of Nagumo equation, P. Kaliappan. Part 3 Special solutions: localized solitons in the plkane, M. Boiti et al; modulation of trapped waves giving approximate two-dimensional solitons, P.C. Sabatier; capture and confinement of solitons in nonlinear integrable systems, V.K. Mel'nikov; Darboux's method and some explicit solutions of the KP equation, F.A. Grunbaum; comments on the periodic nonlinear Schrodinger equation, J.N. Elgin; some specific solutions of some coupled nonlinear equations, C. Guba-Roy; geometric method of integration of inhomogeneous Heisenberg chain, J. Cieslinski; recent results from the search for bilinear equations having three-soliton solutions, J. Hiertarinta. Part 4 Algebraic methods and Hamiltonian theory: (part contents). Part 5 Non-integrable systems. Part 6 Physical applications (part contents).