Nonlinear Evolution Equations

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).