SYMBOLIC COMPUTATION AND POSSIBLY OBSERVABLE EFFECTS FOR THE SOLITON-LIKE LIQUID WAVE PROPAGATION IN THE PRESENCE OF SURFACE TENSION

Bo Tian and Yi-Tian Gao
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Bo Tian: School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China;
Yi-Tian Gao: School of Aeronautic Science and Technology, Beijing University of Aeronautics and Astronautics, Beijing 100083, China;

International Journal of Modern Physics C (IJMPC), 2004, vol. 15, issue 04, 545-551

Abstract: Phenomena on the liquid surfaces are of current importance, such as those for rivers, oceans, liquid propellant for rockets and aviation kerosene. Wave propagation on a liquid surface in the presence of surface tension is hereby investigated. Computerized symbolic computation, generalized hyperbolic-function method and Wu method are combined. Some soliton-like, exact analytic solutions are obtained for a recently-proposed (2+1)-dimensional 6th-order model. Possibly observable effects are also proposed, which certain future experiments may hopefully discover.

Keywords: Liquid surface in the presence of surface tension; (2+1)-dimensional 6th-order model; computerized symbolic computation; soliton-like wave propagation; generalized hyperbolic-function method; Wu method (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1142/S0129183104005991

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