Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
A self--similar solution and the tanh--function method for the kinetic Carleman system
Authors: S. A. Dukhnovsky
Keywords: Painleve test, Carleman system, tanh--function method, traveling wave solutions
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Keywords: Painleve test, Carleman system, tanh--function method, traveling wave solutions
Abstract
In this article, we consider the one--dimensional kinetic system of Carleman equations. The Carleman system is the kinetic Boltzmann equation. This system describes a monatomic rarefied gas consisting of two groups of particles. One particle from the first group, interacting with a particle of the first group, transforms into two particles of the second group. Similarly, two particles of the second group, interacting with themselves, transform into two particles of the first group, respectively. We found traveling wave solutions by using the tanh--function method for nonlinear partial differential system. The results of the work can be useful for mathematical modeling in various fields of science and technology: kinetic theory of gases, gas dynamics, autocatalysis. The obtained exact solutions are new.Moscow State University Of Civil Engineering (National
Research University), 26, Yaroslavskoe shosse, Moscow,
129337, Russian Federation
E-mail:
Research University), 26, Yaroslavskoe shosse, Moscow,
129337, Russian Federation
E-mail:
DOI
https://doi.org/10.56415/basm.y2022.i1.p99Fulltext
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Contents
- Continuous Extensions On Euclidean Combinatorial Configurations
- Subordination and superordination for certain analytic functions associated with Ruscheweyh derivative and a new generalised multiplier transformation
- Different Types of Compact Global Attractors for Cocycles with a Noncompact Phase Space of Driving System and the Relationship Between Them
- A New Method for Developing Signature Algorithms on Finite Non-commutative Algebras
- Properties of coverings in lattices of ring topologies
- Equilibria in Pure Strategies for a Two-Player Zero-Sum Average Stochastic Positional Game
- Morita Contexts, Preradicals and Closure Operators in Modules
- A self--similar solution and the tanh--function method for the kinetic Carleman system
