Lump, interaction of lump and kink and solitonic solution of nonlinear evolution equation which describe incompressible viscoelastic Kelvin–Voigt fluid

Abstract

In this script, we consider the modified Oskolkov equation in incompressible viscoelastic Kelvin–Voigt fluid and fluid dynamics. A dominant direct algebraic method namely modified simple equation method (MSE) uses to retrieve various dynamical structural solutions of the nonlinear models. As a results, we can derive a disguise version of analytic structural solutions in exponential, hyperbolic, trigonometric and Jacobi elliptic functions with some appreciate parameters. In this work, we depict the physical explanation of cross periodic lump wave, interaction of lump and kink, lump and anti-kink shape solution, double periodic wave, kink, anti-kink shape solution, disguise version of soliton solutions with 3D contour plot and 2D plot.