Envelope solitary waves and their reflection and transmission due to impurities in a granular material<xref rid="cpb_27_1_014501fn1" ref-type="fn">*</xref> <fn id="cpb_27_1_014501fn1"> <label>*</label> <p>Project supported by the Strategic Priority Research Program of the Chinese Academy of Sciences (Grant No. XDA01020304) and the National Natural Science Foundation of China (Grant Nos. 91026005, 11547304, 11275156, 11047010, and 61162017).</p> </fn>

Envelope solitary waves and their reflection and transmission due to impurities in a granular material* *

Project supported by the Strategic Priority Research Program of the Chinese Academy of Sciences (Grant No. XDA01020304) and the National Natural Science Foundation of China (Grant Nos. 91026005, 11547304, 11275156, 11047010, and 61162017).

Du Wen-Qing¹, Sun Jian-An¹, Yang Yang-Yang², Duan Wen-Shan^{1, †}

Dependence of the amplitude ratios of the transmitted wave to the incident wave, , the amplitude ratios of the reflected wave to the incident wave, , on the Young’s modulus and the density of the impurity materials.