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Uniqueness of self-similar solutions to the Riemann problem for the Hopf equation with complex nonlinearity

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Solutions of the Riemann problem for a generalized Hopf equation are studied. The solutions are constructed using a sequence of non-overturning Riemann waves and shock waves with stable stationary and nonstationary structures.

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Correspondence to A. G. Kulikovskii.

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Original Russian Text © A.G. Kulikovskii, A.P. Chugainova, V.A. Shargatov, 2016, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2016, Vol. 56, No. 7, pp. 1363–1370.

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Kulikovskii, A.G., Chugainova, A.P. & Shargatov, V.A. Uniqueness of self-similar solutions to the Riemann problem for the Hopf equation with complex nonlinearity. Comput. Math. and Math. Phys. 56, 1355–1362 (2016). https://doi.org/10.1134/S0965542516070113

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  • DOI: https://doi.org/10.1134/S0965542516070113

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