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Nonlinear bi-Hamiltonian dynamical systems: current Lie algebraic approach - MaRDI portal

Nonlinear bi-Hamiltonian dynamical systems: current Lie algebraic approach (Q5942392)

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scientific article; zbMATH DE number 1638479
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Nonlinear bi-Hamiltonian dynamical systems: current Lie algebraic approach
scientific article; zbMATH DE number 1638479

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    Nonlinear bi-Hamiltonian dynamical systems: current Lie algebraic approach (English)
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    29 August 2001
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    The author gives a unitary Lie algebraic approach for the construction of bi-Hamiltonian structures and the dual hierarchies for a large class of dynamical systems including Camassa-Holm equation, KdV equation, sine-Gordon equation, Harry-Dym equation and others.
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    Lie algebraic approach
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    Camassa-Holm equation
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    hierarchies
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