The nonlinear variation of wave is commonly seen in nearshore area, and the resulting seabed response and liquefaction are of high concern to coastal engineers. In this study, an analytical formula considering the nonlinear wave skewness and asymmetry is adopted to provide wave pressure on the seabed surface. The liquefaction depth attenuation coefficient and width growth coefficient are defined to quantitatively characterize the nonlinear effect of wave on seabed liquefaction. Based on the 2D full dynamic model of wave-induced seabed response, a detailed parametric study is carried out in order to evaluate the influence of the nonlinear variation of wave loadings on seabed liquefaction. Further, new empirical prediction formulas are proposed to fast predict the maximum liquefaction under nonlinear wave. Results indicate that (1) Due to the influence of wave nonlinearity, the vertical transmission of negative pore water pressure in the seabed is hindered, and therefore, the amplitude decreases significantly. (2) In general, with the increase of wave nonlinearity, the liquefaction depth of seabed decreases gradually. Especially under asymmetric and skewed wave loading, the attenuation of maximum seabed liquefaction depth is the most significant among all the nonlinear wave conditions. However, highly skewed wave can cause the liquefaction depth of seabed greater than that under linear wave. (3) The asymmetry of wave pressure leads to the increase of liquefaction width, whereas the influence of skewedness is not significant. (4) Compared with the nonlinear waveform, seabed liquefaction is more sensitive to the variation of nonlinear degree of wave loading.

The exosphere of Mercury, which has much in common with the exosphere of the Moon, can also contain suspended dust particles, which, under the action of intense solar radiation, acquire positive charges and form one of the components of the dusty plasma system. In addition to dust particles, there are photoelectrons above the planet surface, formed as a result of interaction of solar radiation with the planet surface, as well as with suspended dust particles. Mercury, unlike the Moon, has its own magnetosphere, which affects the parameters of dusty plasma system. The dusty plasma parameters near the Mercury surface can vary depending on the distance from the planet to the Sun, which considerably changes when the planet moves along the elongated orbit, and also depending on the localization of the region under consideration on the planet surface. Thus, near the magnetic poles, the solar wind can reach the planet surface, which must be taken into account when determining the plasma parameters. Far from the magnetic poles, the effect of the solar wind can be neglected. In the dusty plasma near the surface of Mercury, one can expect the development of linear and nonlinear wave processes. In this paper, nonlinear waves are considered, namely, dust acoustic solitons and nonlinear periodic waves. The profiles of potentials of high-amplitude solitons and nonlinear periodic waves are obtained, as well as the soliton amplitudes as functions of the altitude above the planet surface and soliton velocity.