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Integrable models / Ashok Das.

By: Material type: TextTextSeries: World Scientific lecture notes in physics ; v 30.Publication details: Singapore ; World Scientific, ©1989.Description: xii, 342 p. ; 22 cmISBN:
  • 9789971509118
Subject(s): DDC classification:
  • 515.45 23 D229
Contents:
1. The Korteweg-de Vries equation -- 2. Properties of the KDV solutions -- 3. Integrability of the KDV equation -- 4. Initial value problem for the KDV equation -- 5. Inverse scattering theory -- 6. The LAX method -- 7. More on KDV -- 8. Multi-Soliton solutions -- 9. Geometrical approach to integrable models -- 10. The TODA lattice -- 11. Group theoretical approach to the TODA lattice -- 12. Zakharov-Shabat formulation -- 13. The zero curvature method -- 14. Quantum integrability.
Summary: An excellent introduction to the theory of solutons for nonspecialists, as well as a good resource book for researchers on the subject.
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Includes bibliographical references and index.

1. The Korteweg-de Vries equation --
2. Properties of the KDV solutions --
3. Integrability of the KDV equation --
4. Initial value problem for the KDV equation --
5. Inverse scattering theory --
6. The LAX method --
7. More on KDV --
8. Multi-Soliton solutions --
9. Geometrical approach to integrable models --
10. The TODA lattice --
11. Group theoretical approach to the TODA lattice --
12. Zakharov-Shabat formulation --
13. The zero curvature method --
14. Quantum integrability.

An excellent introduction to the theory of solutons for nonspecialists, as well as a good resource book for researchers on the subject.

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