TY - JOUR
TI - Shallow water waves in porous medium for coast protection
AU - Wang Yan
AU - Zhang Yufeng
AU - Rui Wenjuan
JN - Thermal Science
PY - 2017
VL - 21
IS - 11
SP - 145
EP - 151
PT - Article
AB - 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.