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Asymptotics of the solutions of the one-dimensional nonlinear system of equations of shallow water with degenerate velocity

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Abstract

A system of one-dimensional nonlinear equations of shallow water with degenerate velocity is considered. The change of variables taking the given system to a nonlinear system with small nonlinearity is proposed. Formal asymptotic solutions near the point of degeneracy are obtained.

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Authors and Affiliations

  1. Ishlinskii Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, Russia

    D. S. Minenkov

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  1. D. S. Minenkov
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Correspondence to D. S. Minenkov.

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Original Russian Text © D. S. Minenkov, 2012, published in Matematicheskie Zametki, 2012, Vol. 92, No. 5, pp. 721–730.

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Minenkov, D.S. Asymptotics of the solutions of the one-dimensional nonlinear system of equations of shallow water with degenerate velocity. Math Notes 92, 664–672 (2012). https://doi.org/10.1134/S0001434612110090

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  • DOI: https://doi.org/10.1134/S0001434612110090

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