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New compacton solutions of an extended Rosenau–Pikovsky equation

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Abstract

The K(cosm, cosn) equation is proposed, which extends the Rosenau–Pikovsky K(cos) equation to the case of power-law dependence of nonlinearity and dispersion. The properties of compacton and kovaton solutions are numerically studied and compared with solutions of the K(2,2) and K(cos) equations. New types of peak-shaped compactons and kovatons of various amplitudes are found.

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Authors and Affiliations

  1. Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,”, Russian Academy of Sciences, Moscow, 119333, Russia

    S. P. Popov

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Original Russian Text © S.P. Popov, 2017, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2017, Vol. 57, No. 9, pp. 1560–1569.

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Popov, S.P. New compacton solutions of an extended Rosenau–Pikovsky equation. Comput. Math. and Math. Phys. 57, 1540–1549 (2017). https://doi.org/10.1134/S096554251709010X

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