The Workshop NEEDS '91 brought together, from all over the world, scientists engaged in research on nonlinear systems, either their underlying mathematical properties or their physical applications. Accordingly, many talks were devoted to present methods of solution (like spectral transform) and to the investigation of structural (geometrical and/or algebraic) properties of (continuous and discrete) nonlinear evolution equations. Peculiar nonlinear systems, such as cellular automata, were also discussed. Applications to various fields of physics, namely, quantum field theory, fluid dynamics, general relativity and plasma physics were considered.
Contents:
- Self Dual Yang–Mills Equation and New Special Functions in Integrable Systems (S Chakravarty et al.)
- The Relativistic Toda Lattice and Its Trilinear Form (J Hietarinta et al.)
- Generalized 2+1-Dimensional Loewner Systems: Parametrizational and Structure (B G Konopelchenko et al.)
- Darboux Transforms Algebras in 2+1 Dimensions (S B Leble)
- On a Fully Discrete Soliton System (D Takahashi)
- Some Recent Findings on Nonlinear Evolution Equations and Dynamical Systems (F Calogero)
- A Direct Proof that Solutions of the First Painlevé Equation have no Movable Singularities Except Poles (N Joshi & M Kruskal)
- Solvable Algebraic and Functional Equations. Integrable Evolution Equations with Constraints (P M Santini)
- First Integrals of Hamiltonian and Non-Hamiltonian Systems and Chaos (S Bouquet & A Dewisme)
- Exact Solutions of Classical Field Equations with Polynomial Nonlinearities and their Stability (P Winternitz)
- and other papers
Readership: Mathematicians and physicists.
