The Infinite-Dimensional Lie Algebraic Structure and the Symmetry Reduction of a Nonlinear Higher-Dimensional Equation

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概要

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• The infinite-dimensional Lie algebraic structure of a nonlinear higher-dimensionalequation is studied and shown to contain a subalgebra of a loop algebra. It is shownthat under some cases the equation can be transformed, by the first reduction, to theK-dV equation and the linear wave equation. The second reduction is done for theother cases.

• 社団法人日本物理学会の論文
• 1990-03-15

著者

• Tamizhmani K.m.

  Department Of Mathematics Pondicherry University

• Punithavathi P.

  Department of Mathematics,Pondicherry University

• Tamizhmani K.M.

  Department of Mathematics,Pondicherry University

関連論文

• A Bilinear Approach to the Discrete Painleve I Equations
• Addendum to the Infinite-Dimensional Lie Algebraic Structure and the Symmetry Reduction of a Nonlinear Higher-Dimensional Equation
• Master Symmetries from Lax Operators for Certain Lattice Soliton Hierarchies : General Physics
• The Infinite-Dimensional Lie Algebraic Structure and the Symmetry Reduction of a Nonlinear Higher-Dimensional Equation

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