In this paper, the exact traveling and solitary wave solutions of the fractional nonlinear Drinfeld–Sokolov–Wilson (DSW) system are obtained by employing the modified Khater (mK) method through a new fractional derivative. This system describes the flow of shallow water. Moreover, the stability property of the obtained solutions is also investigated by using the characteristics of the Hamiltonian system. Some plots are given to show more physical properties of the suggested model. The advantage and accuracy of the applied analytical schemes are verified and explained by using Mathematica 11.3, and then a comparison between our solutions and those obtained in previous research papers with different systematic schemes is carried out.
The activity concentration of naturally occurring radionuclides 40K, 226Ra and 232Th have been measured in different brands of fertilizer samples in Saudi Arabia using sodium iodide gamma spectrometry. The results of measurements showed that the mean(ranges) of specific activities for 226Ra, 232Th and 40K activities in the nitrogen, phosphorus and potassium fertilizers are 64 (35.8 -120.7), 17 (3.2 - 56.8) and 2453 (744.9- 4227.1) Bq/kg, respectively. With respect to organic fertilizers under investigation, the average radioactivity of 226Ra, 232Th and 40K are 42, 10 and 333 BqKg?1, respectively. Radium equivalent activity is not exceed 370 Bq/kg, the maximum permissible limit for radiation dose for all present samples. Average values of the three natural radionuclides measured in the brands of fertilizers used in Saudi Arabia are within the range of values reported in several other countries. This study could be useful as baseline data for radiation exposure to fertilizers and their impact on human he...
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