Abstract
This article retrieves multiple lump, periodic cross kink, rogue wave, multiwave, breathers, M-shaped and interactional solutions for generalized Vakhnenko Parkes (gVP) equation via appropriate transformations. This leads to a transformed equation for which it is straightforward to evaluate the exact solutions. The gVP equation gives a description of high-frequency waves in the relaxation medium possessing periodic and solitary traveling wave solutions some of which are loop-like in nature. These types of solutions have been observed in wave propagations, rogue waves and many other physical systems. We also interpret some of our solutions in distinct dimensions via 3D, 2D, contours and density profiles.