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Algebra of symmetry operators for an invariant nonlinear-transport equation

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Abstract

The invariant form is obtained for a nonlinear-transport equation, and extended systems are found for nonlinear-transport equations in terms of the variables (x, t), (e, t), and (e, x), where x is the Euler coordinate, t is time, and e is the energy space variable. The algebra of point-symmetry operators is calculated for the invariant nonlinear-transport equation and this algebra is shown to be admitted by the extended systems of nonlinear transport.

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Authors and Affiliations

  1. Institute of Mathematical Modeling, Russian Academy of Sciences, USSR

    N. A. Dar'in

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  1. N. A. Dar'in
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 105. No. 3. pp. 364–370, December, 1995.

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Dar'in, N.A. Algebra of symmetry operators for an invariant nonlinear-transport equation. Theor Math Phys 105, 1484–1489 (1995). https://doi.org/10.1007/BF02070868

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  • DOI: https://doi.org/10.1007/BF02070868

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