On Lie algebras connected with nondiagonalizable integrable hydrodynamics type systems (Q1382596)

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scientific article; zbMATH DE number 1134958
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On Lie algebras connected with nondiagonalizable integrable hydrodynamics type systems
scientific article; zbMATH DE number 1134958

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    On Lie algebras connected with nondiagonalizable integrable hydrodynamics type systems (English)
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    29 March 1998
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    For the system of hydrodynamic type \[ u^i_t = v^i_j(u)u^j_x,\qquad i,j = 1,\dots,n, \] it is shown that the related Lie algebras do not change when the eigenvectors are renormed.
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    systems of hydrodynamic type
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    Lie algebras
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