Email this article New compacton solutions of an extended Rosenau–Pikovsky equation
- Authors: Popov S.P.1
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Affiliations:
- Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,”
- Issue: Vol 57, No 9 (2017)
- Pages: 1540-1549
- Section: Article
- URL: https://journal-vniispk.ru/0965-5425/article/view/179407
- DOI: https://doi.org/10.1134/S096554251709010X
- ID: 179407
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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.
About the authors
S. P. Popov
Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,”
Author for correspondence.
Email: sppopov@yandex.ru
Russian Federation, Moscow, 119333
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