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Nonlinear Evolution Equations and Dynamical Systems

  • Conference proceedings
  • © 1990

Overview

Editors:
  1. Sandra Carillo

    1. Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Università di Roma „La Sapienza“, Roma, Italy

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  2. Orlando Ragnisco

    1. Dipartimento di Fisica, Università di Roma „La Sapienza“, Roma, Italy

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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 (44 papers)

  1. Front Matter

    Pages I-XIV
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  2. Integrable Systems in (2+1)-Dimensions

    1. Front Matter

      Pages 1-1
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    2. Solitons and Dromions, Coherent Structures in a Nonlinear World

      • P. M. Santini, A. S. Fokas
      Pages 2-13

    3. Boundary Value Problems in 1 + 1 and in 2 + 1, the Dressing Method, and Cellular Automata

      • A. S. Fokas
      Pages 14-25

    4. Exponentially Localized Solitons in 2 + 1 Dimensions

      • M. Boiti, J. Leon, L. Martina, F. Pempinelli
      Pages 26-28

    5. On the Boundary Conditions of the Davey-Stewartson Equation

      • M. J. Ablowitz, C. L. Shultz, S. V. Manakov
      Pages 29-31

    6. Rational Solutions to the Two-Component K-P Hierarchies

      • C. R. Gilson, J. J. C. Nimmo, N. C. Freeman
      Pages 32-35

    7. Construction of Inverse Data in Multidimensions

      • Zhuhan Jiang
      Pages 36-40

  3. Criteria and Tests of Integrability: Painlevé Property, Hirota Method, Lie-Bäcklund Symmetries

    1. Front Matter

      Pages 41-41
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    2. Examples of Nonclassical Similarity Reductions

      • P. A. Clarkson
      Pages 42-45

    3. Equations That Pass Hirota’s Three-Soliton Condition and Other Tests of Integrability

      • J. Hietarinta
      Pages 46-50

    4. Selection of Solvable Nonlinear Evolution Equations by Systematic Searches for Lie Bäcklund Symmetries

      • P. Broadbridge
      Pages 51-54
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Keywords

Editors and Affiliations

  • Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Università di Roma „La Sapienza“, Roma, Italy

    Sandra Carillo

  • Dipartimento di Fisica, Università di Roma „La Sapienza“, Roma, Italy

    Orlando Ragnisco

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