Titlebook: Nonlinear Equations in Physics and Mathematics; Proceedings of the N A. O. Barut Conference proceedings 1978 D. Reidel Publishing Company,

folliculitis

Prolongation Structure Techniques for the New Hierarchy of Korteweg-de Vries Equationsries equation as the equation of lowest order. This hierarchy differs from the Lax hierarchy of equations [3] which can all be solved by the inverse method associated with the scalar Schrödinger equation as shown by Gardner, Greene, Kruskal, and Miura [4]. The next equation in this new hierarchy is

PHON

Painlevé Transcendents and Scaling Functions of the Two-Dimensional Ising Modelarouch)on the correlation functions of the two-dimensional Ising model. In particular, I wish to demonstrate how a particular solution of the two-dimensional hyperbolic sine-Gordon equation (also known as the two-dimensional nonlinear Debye-Hückel equation),.plays a fundamental role in the scaled tw

Bereavement

宏伟

condone

Conference proceedings 1978 Study Institutes held in Istanbul in 1970, 1972 and 1977. We believe that physics and mathematics can develop best in harmony and in close communication and cooper­ ation with each other and are sometimes inseparable. With this goal in mind we tried to bring mathematicians and physicists together t

委屈

PLAYS

Narcissist

Solutions of Nonlinear Equations Simulating Pair Production and Pair Annihilatione known. We add to this list a class of solutions which correspond to phenomena of the type of pair annihilation, pair production, or cell division. The analysis shows that this class of equations or solutions are very rich.

Interregnum

Anthem

Painlevé Transcendents and Scaling Functions of the Two-Dimensional Ising Modelo-point function in both the one-phase and two-phase regions. Before I discuss these results, I would like first to review the definition of the 2-d. Ising model.).)and related quantities (Section 2); and then briefly recall the scaling theory hypothesis.).)for correlation functions (Section 3).