Breather Wave and Kinky Periodic Wave Solutions of One-Dimensional Oskolkov Equation

In this work, we confer the propagation of nonlinear Kinky periodic wave and breather wave for the dominant nonlinear pseudo-parabolic physical models: the one-dimensional Oskolkov equation is explored. By executing simple equation method, compilation of disguise adaptation of exact nonlinear wave solutions with some noteworthy parameters for the Oskolkov equations is accessible. The elements of acquired nonlinear wave arrangements are broke down and delineated in figures by choosing suitable parameters. The simple equation scheme is solid treatment for seeking fundamental nonlinear waves that improve assortment of dynamic models emerges in designing fields. The presentation of this technique is dependable, direct, and easy to execute contrasted with other existing strategies.