New kink solutions for the van der Waals p-system

摘要

The simple equation method and modified simple equation method are employed to seek exact traveling wave solutions to the (1 + 1)-dimensional van der Waals gas system in the viscosity-capillarity regularization form. Under the help of Mathematica, new classes of kink solutions are derived. Numerical simulations with special choices of the free parameters are displayed by three- and two-dimensional plots. The two methods demonstrate simplicity, reliability, and efficiency.