Dynamics of Evolutionary Equations with 1+2 Independent Variables

Authors

  • Alexei G. Kushner Lomonosov Moscow State University, Moscow, Russia; Moscow Pedagogical State University, Moscow, Russia
  • Elena N. Kushner Moscow State Technical University of Civil Aviation, Moscow, Russia
  • Tao Sinian Lomonosov Moscow State University, Moscow, Russia

DOI:

https://doi.org/10.25728/assa.2022.22.4.1323

Keywords:

integrability, completely integrable distributions, symmetry, evolutionary equations, filtration, thermodynamics

Abstract

The paper is devoted to a method for constructing exact solutions of evolutionary differential equations with two space variables.The method uses the theory of symmetries of completely integrable distributions. As an example, we consider a linear parabolic equation that arises in filtration theory, thermodynamics, and mathematical biology. Dynamics are calculated for this equation and classes of their exact solutions are constructed.

Downloads

Download data is not yet available.

Downloads

Published

2022-12-30

How to Cite

Kushner, A. G., Kushner, E. N., & Sinian, T. (2022). Dynamics of Evolutionary Equations with 1+2 Independent Variables. Advances in Systems Science and Applications, 22(4), 1–10. https://doi.org/10.25728/assa.2022.22.4.1323

Issue

Vol. 22 No. 4 (2022): Advances in Systems Science and Applications

Section

Articles