Propagation of Two-Soliton in a Compressible Hyperelastic Rod

The research delves into investigating the propagation of two-soliton in a compressible hyperelastic rods in the framework of the KdV equation. Using suitable transformation, the KdV equation is transformed to the standard KdV equation. By utilizing the Hirota bilinear method, the two-soliton solution of the KdV equation is obtained. Time evaluation of the propagation of two-soliton are plotted. Effect of various parameters on the two soliton solution are also investigated. Phase shift and their variation for different parameter values are also presented.