Theory of Nonlinear Lattices
By: by Morikazu Toda
Edition: Second enlarged edition.
Series: Springer Series in Solid-State Sciences -- 20; Springer series in solid-state sciences -- 20.
Publisher: Springer Berlin Heidelberg
Published: 1989
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] /
Number of pages: 225
ISBN-13: 9783540183273; 9783642832192
Subjects: Mechanics; Mathematical physics; Physics
Description: Soliton theory, the theory of nonlinear waves in lattices composed of particles interacting by nonlinear forces, is treated rigorously in this book. The presentation is coherent and self-contained, starting with pioneering work and extending to the most recent advances in the field. Special attention is focused on exact methods of solution of nonlinear problems and on the exact mathematical treatment of nonlinear lattice vibrations. This new edition updates the material to take account of important new advances.
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Mode of access: World Wide Web.
Table of contents: title: Introduction; title: The Lattice with Exponential Interaction; title: The Spectrum and Construction of Solutions; title: Periodic Systems; title: Application of the Hamilton-Jacobi Theory; title: Recent Advances in the Theory of Nonlinear Lattices; title: Appendices; title: Simplified Answers to Main Problems; title: References; title: Bibliography; title: Subject Index; title: List of Authors Cited in Text.