Symmetries and the Painleve Property : General and Mathematical Physics

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概要

• 論文の詳細を見る

• A test for the integrability of a nonlinear partial differential equation is the Painleve analysis introduced by Weiss, Tabor and Carnevale. It turned out that Lax-paris and Backlund transformations arise from the Painleve test. More recently, Gibbon et al. revealed interrelations between the Painleve property and Hirota's bilinear method. In this paper it is shown that symmetries and recursion operators can be obtained from the Painleve expansion.

• 理論物理学刊行会の論文
• 1986-10-25

著者

• Strampp Walter

  Fachbereich 17 Mathematik Gesamthochschule Kassel

• STRAMPP Walter

  Department of Applied Physics, Faculty of Engineering University of Tokyo

• Strampp W.

  Fachbereich 17-Mathematik, GH-Universitaet Kassel

関連論文

• On the Resonance Pattern of Integrable Equations: General and Mathematical Physics
• Symmetries and the Painleve Property : General and Mathematical Physics
• The KP Hierarchy and Aspects of the Painleve Property : General and Mathematical Physics
• Lax Formulation, Painleve Property and Recursion Operator for a Space-Dependent Burgers' Equation
• A Comment on Backlund Transformations Connected with the Strum-Liouville Operator
• A Nonlinear Derivative Schroedinger-Equation: Its Bi-Hamilton Structures, Their Inverses, Nonlocal Symmetries and Mastersymmetries
• Solutions to Non-Linear Reaction-Diffusion Equations in Two Space Dimensions
• Backlund Transformations and Recursion Operators via Symmetry

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