New compacton solutions of an extended Rosenau–Pikovsky equation

S. P. Popov

Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 9, pp. 1560-1569

Résumé

The $\mathrm{K}(\cos^m, \cos^n)$ equation is proposed, which extends the Rosenau–Pikovsky $\mathrm{K}(\cos)$ 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 $\mathrm{K}(2,2)$ and $\mathrm{K}(\cos)$ equations. New types of peak-shaped compactons and kovatons of various amplitudes are found.

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