Mastersymmetries, Higher Order Time-Dependent Symmetries and Conserved Densities of Nonlinear Evolution Equations

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概要

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• As examples, for the Lie algebras of mastersymmetries, all time-dependent symmetries and constants of motion of the Benjamin-Ono equation, the Kadomtsev-Petviashvili equation, and all their generalizations are explicitly constructed. It is shown that these quantities exist in any polynomial order of time, that they are not in involution and that they do not coincide for different members of the hierarchies. It turns out that the corresponding Lie algebras are finitely generated and that the crucial role in this generating-process is played by vector fields which are constant on the manifold under consideration. The general method for the construction of the relevant quantities is described in detail, so that it can be applied to other nonlinear evolution equations as well.

• 理論物理学刊行会の論文
• 1983-12-25

著者

• Fuchssteiner Benno

  Gesamthochschule

• Fuchssteiner Benno

  Clarkson College Of Technology Department Of Mathematics And Computer Science:university Of Paderbor

• Fuchssteiner Benno

  Universitat Paderborn

関連論文

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• Action-Angle Representation of Multisolitons by Potentials of Mastersymmetries : General and Mathematical Physics
• The Lie Algebra Structure of Nonlinear Evolution Equations Admitting Infinite Dimensional Abelian Symmetry Groups
• Mastersymmetries, Higher Order Time-Dependent Symmetries and Conserved Densities of Nonlinear Evolution Equations
• Mastersymmetries and Multi : Hamiltonian Formulations for Some Integrable Lattice Systems : General and Mathematical Physics

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