Nonlinear Equations in Physics and Mathematics

Proceedings of the NATO Advanced Study Institute held in Istanbul, Turkey, August 1–13, 1977

Inbunden, Engelska, 1978

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This is the third Volume in a series of books devoted to the interdisciplinary area between mathematics and physics, all ema nating from the Advanced Study Institutes held in Istanbul in 1970, 1972 and 1977.

Produktinformation

Utgivningsdatum1978-11-30
Mått155 x 235 x 31 mm
Vikt893 g
FormatInbunden
SpråkEngelska
SerieNato Science Series C:
Antal sidor474
Upplaga1978
FörlagSpringer
ISBN9789027709363

Tillhör följande kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

I - Dynamical Systems and Inverse Scattering Problems.- Integrable Many-Body Problems.- Inverse Scattering Problems for Nonlinear Applications.- Solutions of Nonlinear Equations Simulating Pair Production and Pair Annihilation.- The Two-Time Method Applied to Slowly Evolving Oscillating Systems.- II - Solitons.- Solitons in Physics.- Solitons and Geometry.- Hirota’s Method of Solving Soliton-Type Equations.- Prolongation Structure Techniques for the New Hierarchy of Korteweg-de Vries Equations.- Perturbation Theory for the Double Sine-Gordon Equation.- III - Discrete Systems and Continuum Mechanics.- Painlevé Transcendents and Scaling Functions of the Two-Dimensional Ising Model.- Statistical Mechanics of Nonlinear Lattice Dynamic Models Exhibiting Phase Transitions.- Nonlocal Continuum Mechanics and Some Applications.- IV - Nonlinear Field Theories and Quantization.- Quantization of a Nonlinear Field Equation.- Characteristic “Quanta” of Nonlinear Field Equations.- Nonlinear Schrödinger Equation with Sources: An Application of the Canonical Formalism.- Nonlinear Field Equations and Collective Phenomena.- Nonperturbative Self-Interactions, Solitary Waves and Others.- Bound States of Fermions in External and Self-Consistent Fields.