Ebook: Theory of Nonlinear Lattices

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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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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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.
Content:
Front Matter....Pages I-X
Introduction....Pages 1-13
The Lattice with Exponential Interaction....Pages 14-41
The Spectrum and Construction of Solutions....Pages 42-97
Periodic Systems....Pages 98-146
Application of the Hamilton-Jacobi Theory....Pages 147-158
Recent Advances in the Theory of Nonlinear Lattices....Pages 159-176
Back Matter....Pages 177-225

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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.
Content:
Front Matter....Pages I-X
Introduction....Pages 1-13
The Lattice with Exponential Interaction....Pages 14-41
The Spectrum and Construction of Solutions....Pages 42-97
Periodic Systems....Pages 98-146
Application of the Hamilton-Jacobi Theory....Pages 147-158
Recent Advances in the Theory of Nonlinear Lattices....Pages 159-176
Back Matter....Pages 177-225
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