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Lie Symmetries of Inviscid Burgers’ Equation

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Abstract.

The present paper solves completely the problem of the Lie group analysis of nonlinear equation u t (x, t) + g(u)u x (x, t) = 0, where g(u) is a smooth function of u. And apply these results on inviscid Burgers equation.

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Authors and Affiliations

  1. Faculty of Mathematics, Iran University of Science and Technology, Narmak, Tehran, I.R., Iran

    Mehdi Nadjafikhah

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  1. Mehdi Nadjafikhah
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Correspondence to Mehdi Nadjafikhah.

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Nadjafikhah, M. Lie Symmetries of Inviscid Burgers’ Equation. AACA 19, 101–112 (2009). https://doi.org/10.1007/s00006-008-0127-2

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  • DOI: https://doi.org/10.1007/s00006-008-0127-2

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