Dynamics of Evolutionary Differential Equations with Several Spatial Variables

被引：3

作者：

Kushner, Alexei G. G. ^{[1
]}

机构：

[1] Lomonosov Moscow State Univ, Fac Phys, Moscow 119991, Russia

来源：

MATHEMATICS | 2023年 / 11卷 / 02期

关键词：

completely integrable distributions; jets; symmetry; finite dimensional dynamics; overdetermined systems; integrability; exact solutions;

D O I：

10.3390/math11020335

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：11