Dynamics of Evolutionary Differential Equations with Several Spatial Variables

The article is devoted to a method for constructing exact and approximate solutions of evolutionary partial differential equations with several spatial variables. The method is based on the theory of completely integrable distributions. Examples of applying this method to calculating exact solutions of the generalized Kolmogorov-Petrovskii-Piskunov-Fishev equations with two space variables are given.

Automated summary

The article presents a method for constructing exact and approximate solutions of evolutionary partial differential equations with several spatial variables, based on the theory of completely integrable distributions. Examples are provided to demonstrate the application of this method to calculate exact solutions of the generalized Kolmogorov-Petrovskii-Piskunov-Fishev equations with two space variables.