Symmetries and First Integrals for Nonlinear Dynamical Systems: Hilbert Space Approach. II : Partial Differential Equations : General and Mathematical Physics

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概要

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• In this second part we extend the Hilbert space approach to the case of the infinite number of degrees of freedom. The linear problems in a Hilbert space connected with investigation of symmetries and first integrals for nonlinear partial differential equations are described. The boson realizations of Lie algebras of flows and invariants for nonlinear evolution equations are introduced.

• 理論物理学刊行会の論文
• 1991-05-25

著者

• Steeb W.-h.

  Department Of Applied Mathematics Aud Nonlinear Studies Rand Afrikaans University

• Steeb W.-h.

  Department Of Applied Mathematics And Nonlinear Studies Rand Afrikaans University

• KOWALSKI K.

  Department of Applied Mathematics and Nonlinear Studies, Rand Afrikaans University

• Kowalski K.

  Department Of Applied Mathematics Aud Nonlinear Studies Rand Afrikaans University

• STEEB W.-H.

  Department of Physics, Rand Afrikaans University

• Steeb W.-H.

  Department of Applied Mathematical and Nonlinear Studies,Rand Afrikaans University

関連論文

• Symmetries and First Integrals for Nonlinear Dynamical Systems: Hilbert Space Approach. I : Ordinary Differential Equations : General and Mathematical Physics
• Symmetries and First Integrals for Nonlinear Dynamical Systems: Hilbert Space Approach. II : Partial Differential Equations : General and Mathematical Physics
• Soliton Equations, Commutativity Condition and Painleve Property : Condensed Matter and Statistical Physics
• Conservation Laws, Resonances and Painleve Test
• A Note on Nambu Mechanics and the Painleve Test
• Lax Formulation, Painleve Property and Recursion Operator for a Space-Dependent Burgers' Equation
• Lie and Lie Backlund Vector Fields and Painleve Test for a Class of Scale Invariant Partial Differential Equations of First Order
• Coupled Chaotic Oscillators
• Generalization of Energy Level Motion

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