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On the isogroups of the semilinear hyperbolic equation \(u_{xt}=f(u)\) and its exact solutions for the case of the Liouville equation - MaRDI portal

On the isogroups of the semilinear hyperbolic equation \(u_{xt}=f(u)\) and its exact solutions for the case of the Liouville equation (Q1199214)

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scientific article; zbMATH DE number 93650
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English
On the isogroups of the semilinear hyperbolic equation \(u_{xt}=f(u)\) and its exact solutions for the case of the Liouville equation
scientific article; zbMATH DE number 93650

    Statements

    On the isogroups of the semilinear hyperbolic equation \(u_{xt}=f(u)\) and its exact solutions for the case of the Liouville equation (English)
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    16 January 1993
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    similarity solutions
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    potential principle
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    infinitesimal Lie groups
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    isovector approach
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    orbital equations
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    invariant groups of transformation
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    nonlinear ordinary differential equation
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    Noether theorem
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    closed form exact solution
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