Topics in Soliton Theory - 1st Edition - ISBN: 9780444888693, 9780080872780

Topics in Soliton Theory, Volume 167

1st Edition

Authors: R.W. Carroll
Hardcover ISBN: 9780444888693
eBook ISBN: 9780080872780
Imprint: North Holland
Published Date: 26th November 1991
Page Count: 427
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Table of Contents

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.


Description

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.


Details

No. of pages:
427
Language:
English
Copyright:
© North Holland 1991
Published:
Imprint:
North Holland
eBook ISBN:
9780080872780
Hardcover ISBN:
9780444888693

About the Authors

R.W. Carroll Author

Affiliations and Expertise

Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, IL, USA