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Invariance group properties and exact solutions of equations describing time-dependent free surface flows under gravity - MaRDI portal

Invariance group properties and exact solutions of equations describing time-dependent free surface flows under gravity (Q3727562)

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Invariance group properties and exact solutions of equations describing time-dependent free surface flows under gravity
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    Invariance group properties and exact solutions of equations describing time-dependent free surface flows under gravity (English)
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    1986
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    self-similar solutions
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    shallow water equations
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    shear flow
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    horizontal bottom
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    free surface
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    absence of critical levels
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    incomplete beta functions
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    boundary conditions
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    hydraulic approximation
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    two-dimensional unsteady inviscid flow
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    method of infinitesimal transformations
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    identification of the similarity variables
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