Abstract
In this paper, the surface-tension effects to non-propagating solitons is studied. Thus the Larraza and Putterman’s theory has been modified. It is found that the surface-tension makes the frequency range of crosswise scillation of solitions larger, the amplitude higher and the width smaller. When the surfacetension coefficient is equal to zero (α=0), the results are consistent with those of Larraza and Putterman.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Ablowitz, M.J. and H. Segur, On the evolution of packets of water waves,J. Fluid Mech.,92 (1979), 691–715.
Miles, J.W., Solitary waves,Ann. Rev. Fluid Mech.,12 (1980), 11–43.
Wu Jun-ru, R. Keolian and I. Rudnick, Observation of a non-propagating hydrodynamic soliton,Phys. Rev. Lett.,52 (1984), 1421–1424.
Larraza, A. and S. Putterman, Theory of non-propagating hydrodynamic solitons,Phys. Lett.,103A (1984), 15–18.
Larraza, A. and S. Putterman, Theory of non-propagating surface-wave solitons,J. Fluid Mech.,118 (1984), 443–449.
Landau, L.D. and E.M. Lifshitz,Fluid Mechanics, Chapter 7, Pergamon Press (1975).
Author information
Authors and Affiliations
Additional information
Communicated by Yun Tian-quan
Projects Supported by the Science Fund of the Chinese Academy of Sciences.
Rights and permissions
About this article
Cite this article
Jia-ren, Y., Guo-xiang, H. Theory of non-propagation solitons including surface-tension effects. Appl Math Mech 8, 985–989 (1987). https://doi.org/10.1007/BF02454261
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02454261