THERMAL SCIENCE
International Scientific Journal
SHALLOW WATER WAVES IN POROUS MEDIUM FOR COAST PROTECTION
ABSTRACT
This paper extends the Hirota-Satsuma equation in continuum mechanics to its fractional partner in fractal porous media in shallow water for absorbing wave energy and preventing tsunami. Its derivation is briefly introduced using the fractional momentum law and He's fractional derivative. The fractional complex transform is adopted to elucidate its basic solution properties, and a modification of the exp-function method is used to solve the equation. The paper concludes that the kinetic energy of the travelling wave tends to be vanished when the value of the fractional order is less than one.
KEYWORDS
PAPER SUBMITTED: 2017-03-12
PAPER REVISED: 2017-05-15
PAPER ACCEPTED: 2017-05-24
PUBLISHED ONLINE: 2017-12-02
THERMAL SCIENCE YEAR
2017, VOLUME
21, ISSUE
Supplement 1, PAGES [S145 - S151]
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