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.

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Published

2022-12-30

Issue

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

Section

Articles

How to Cite

Dynamics of Evolutionary Equations with 1+2 Independent Variables. (2022). Advances in Systems Science and Applications, 22(4), 1-10. https://doi.org/10.25728/assa.2022.22.4.1323