Dynamics of Evolutionary Differential Equations with Several Spatial Variables

Abstract

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.

Keywords

• completely integrable distributions
• jets
• symmetry
• finite dimensional dynamics
• overdetermined systems
• integrability