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Nonlinear Physics

Proceedings of the International Conference, Shanghai, People’s Rep. of China, April 24–30, 1989

  • Conference proceedings
  • © 1990

Overview

Editors:
  1. Chaohao Gu

    1. University of Science and Technology of China, Hefei, Anhui, People’s Rep. of China

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  2. Yishen Li

    1. University of Science and Technology of China, Hefei, Anhui, People’s Rep. of China

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  3. Guizhang Tu

    1. Computing Center of Academia Sinica, Beijing, People’s Rep. of China

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  4. Yunbo Zeng

    1. Department of Mathematics, University of Science and Technology of China, Hefei, Anhui, People’s Rep. of China

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Research Reports in Physics (RESREPORTS)

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Table of contents (30 papers)

  1. Front Matter

    Pages I-IX
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  2. Integrable Systems: Hamiltonian Structure, Symmetries, Bäcklund and Darboux Transformations

    1. Front Matter

      Pages 1-1
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    2. Liouville Integrability of Zero Curvature Equations

      • Guizhang Tu
      Pages 2-11

    3. 2+1 Dimensional Integrable Hierarchies, Lax Operators and Relevant Algebraic Structures

      • Yi Cheng
      Pages 12-22

    4. Determination of Nondegenerate Darboux Operators of First Order in 1 + 2 Dimensions

      • Zixiang Zhou
      Pages 23-28

    5. A Series of New Exact Solutions to the Nonlinear Equation \({y_t} + {y_{xxx}} - 6{y^2}{y_x} + 6\lambda {y_x} = 0\)

      • Chi Au
      Pages 29-34

    6. Bäcklund Transformations for the Isospectral and Non-Isospectral KdV Hierarchies

      • Chou Tian, Youjin Zhang
      Pages 35-41

    7. Multiple Darboux Transformations and Multiple Pole Solutions for AKNS Hierarchy

      • Xinshen Gu
      Pages 42-46

    8. A Lie Algebraic Structure of G.J. and Its Gauge Equivalent Yang Hierarchies

      • Yishen Li, Yi Cheng, Yunbo Zeng
      Pages 47-52

  4. Quantum Aspects and Statistical Mechanics

    1. Front Matter

      Pages 97-97
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    2. Quantum and Classical Statistical Mechanics of the Integrable Models in 1 + 1 Dimensions

      • R. K. Bullough, D. J. Pilling, J. Timonen, Yi Cheng, Yu-Zhong Chen
      Pages 98-110

    3. Link Polynomials and Exactly Solvable Models

      • M. Wadati, Y. Akutsu, T. Deguchi
      Pages 111-135

    4. R-Matrices and Higher Poisson Brackets for Integrable Systems

      • W. Oevel
      Pages 136-145

    5. Classical R-Matrix and Semi-Simple Lie Algebras

      • Zhangju Liu, Min Qian
      Pages 146-151
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Keywords

About this book

These refereed proceedings present recent developments on specific mathematical and physical aspects of nonlinear dynamics. The new findings discussed in here will be equally useful to graduate students and researchers. The topics dealt with cover a wide range of phenomena: solitons, integrable systems, Hamiltonian structures, Bäcklund and Darboux transformation, symmetries, fi- nite-dimensional dynamical systems, quantum and statistical mechanics, knot theory and braid group, R-matrix method, Hirota and Painlevé analysis, and applications to water waves, lattices, porous media, string theory and even cellular automata.

Editors and Affiliations

  • University of Science and Technology of China, Hefei, Anhui, People’s Rep. of China

    Chaohao Gu, Yishen Li

  • Computing Center of Academia Sinica, Beijing, People’s Rep. of China

    Guizhang Tu

  • Department of Mathematics, University of Science and Technology of China, Hefei, Anhui, People’s Rep. of China

    Yunbo Zeng

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