Topics in soliton theory

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Topics in soliton theory / Robert W. Carroll

資料種別:: 図書
出版情報:: Amsterdam ; Tokyo : North-Holland
New York, N.Y., U.S.A. : Distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1991
形態:: xii, 428 p. ; 25 cm
シリーズ名:: North-Holland mathematics studies ; 167 <BA00027270>
著者名:: Carroll, Robert Wayne, 1930- <DA01034788>
ISBN:: 9780444888693 [0444888691]
書誌ID:: BA1340536X

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注記:

Bibliography: p. 397-419
Includes index

主題:

Mathematical physics; Solitons--Mathematics

言語:

英語

目次情報:

KdV and KP

Analytic Methods

Inverse Scattering

KdV on the Line

Problems in Mechanics and Hill's Equation

On the Geometry of KdV

Finite Zone Potentials

Hamiltonian Theory for KdV

Determinant Methods for KdV and KP

Tau Functions

Systems and Algebraic Methods

Orbits of the Vacuum

AKNS Systems

Some Lie Theoretic Methods

The Hirota Bilinear Identity

Algebraic Curves and KP

Introductory Sato Theory

Physics

Holonomic Quantum Fields

Ising Model and Bose Gas

Some remarks on 2-D Quantum Gravity and KdV

Conformal Field Theory

More on Conformal Field Theory and Tau Functions

More on Kricever Data, Grassmannians, Curves etc

Remarks on Strings

More on Strings, Riemann Surfaces, and Tau Functions

Remarks on Tau Functions, Cauchy-Riemann Operators, and Determinant Bundles

Quantum Inverse Scattering

Appendices: Differential Geometry and Elementary Hamiltonian Theory

Riemann Surfaces and Algebraic Curves

References

Index

KdV and KP

Analytic Methods

Inverse Scattering

KdV on the Line

Problems in Mechanics and Hill's Equation

On the Geometry of KdV

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