Soliton Equations and Hamiltonian Systems (Second Edition)

By: Leonid A. Dickey

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Hardcover | 30 January 2003 | Edition Number 2

At a Glance

Hardcover
420 Pages

Edition Type
Revised

Dimensions(cm)
23.98 x 15.55 x 2.62

Hardcover

$173.14

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The theory of soliton equations and integrable systems has developed rapidly during the last 30 years with numerous applications in mechanics and physics. For a long time, books in this field have not been written but the flood of papers was overwhelming: many hundreds, maybe thousands of them. All this output followed one single work by Gardner, Green, Kruskal, and Mizura on the Korteweg-de Vries equation (KdV), which had seemed to be merely an unassuming equation of mathematical physics describing waves in shallow water.

Besides its obvious practical use, this theory is attractive also because it satisfies the aesthetic need in a beautiful formula which is so inherent to mathematics.

The second edition is up-to-date and differs from the first one considerably. One third of the book (five chapters) is completely new and the rest is refreshed and edited.

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You Can Find This Book In

Non-Fiction Science Physics Classical Mathematics Wave Mechanics including Vibration & Acoustics Mathematics Calculus & Mathematical Analysis Differential Calculus & Equations Topology Analytic Topology Science in General Maths for Scientists

Applied Mathematics Quantum Physics & Quantum Mechanics & Quantum Field Theory Mathematical Physics

Introduction to the First Edition	p. 1
Integrable Systems Generated by Linear Differential nth Order Operators	p. 7
Hamiltonian Structures	p. 23
Hamiltonian Structure of the GD Hierarchies	p. 45
Modified KdV and GD. The Kupershmidt-Wilson Theorem	p. 67
The KP Hierarchy	p. 75
Baker Function, [tau]-Function	p. 89
Additional Symmetries, String Equation	p. 113
Grassmannian. Algebraic-Geometrical Krichever Solutions	p. 123
Matrix First-Order Operator, AKNS-D Hierarchy	p. 141
Generalization of the AKNS-D Hierarchy: Single-Pole and Multi-Pole Matrix Hierarchies	p. 165
Isomonodromic Deformations and the Most General Matrix Hierarchy	p. 187
Tau Functions of Matrix Hierarchies	p. 203
KP, Modified KP, Constrained KP, Discrete KP, and q-KP	p. 213
Another Chain of KP Hierarchies and Integrals Over Matrix Varieties	p. 227
Transformational Properties of a Differential Operator under Diffeomorphisms and Classical W-Algebras	p. 251
Further Restrictions of the KP; Stationary Equations	p. 269
Stationary Equations of the Matrix Hierarchy	p. 295
Stationary Equations of the Matrix Hierarchy (Cont'd)	p. 317
Field Lagrangian and Hamiltonian Formalism	p. 329
Further Examples and Applications	p. 363
Bibliography	p. 397
Index	p. 407
Table of Contents provided by Blackwell. All Rights Reserved.

Soliton Equations and Hamiltonian Systems (Second Edition)

At a Glance

Hardcover

Shipping

How to return your order

Defective items

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