Extraction of the gravitational potential and high‐frequency wave perturbation properties of nonlinear (3 + 1)‐dimensional Vakhnenko–Parkes equation via novel approach.

The (3 + 1)‐dimensional Vakhnenko–Parkes mathematical model has a wide range of applications in science and engineering. In this paper, the model studied is investigated and analyzed by using two effective schemes such as sine‐Gordon expansion method and its newly developed version, rational SGEM. Moreover, many novel properties of model studied are extracted in detail. Furthermore, their wave distributions properties and graphs are also plotted under the strain conditions. Interactions of the gravitational potential and high‐frequency wave perturbation properties are also reported in a detailed manner. [ABSTRACT FROM AUTHOR]