ON THE SYMMETRY GROUP OF DIFFERENTIAL EQUATIONS

Authors

  • Otabek Abdigapparovich Narmanov Department of Algorithms and mathematical modeling, Tashkent University of Information Technologies
  • Anvar Nazirovich Mirzayev Department of Algorithms and mathematical modeling, Tashkent University of Information Technologies
  • Salohiddin Samaridinovich Nasridinov Department of Algorithms and mathematical modeling, Tashkent University of Information Technologies

Keywords:

heat equation, symmetry group, Lie algebra, traveling wave solutions

Abstract

In this paper we find Lie algebra of infinitesimal generators of symmetry group  of  heat   equation and it is found general  traveling wave  solutions in explicitly  form.

References

. Aripov M.M. 1988, Methods of etalon equations for a solving of nonlinear boundary value problems. Tashkent,Fan, 137 pages(Russian).

. Bratus A.S.,Novojilov A.C., Platonov A.P.2011,Dynamical systems and models in biology.Draft, 436 pages (Russian).

. Volosevich P.P.,Lavanov E. I. 1997,Self-similar solutions of gas dynamics and heat transfer. Moscow,MFTI, 235 pages (Russian).

. Olver P.J. 1993, Applications of Lie group to differential equations, second edition, Springer-Verlag, New York.

. Narmanov O.A. Lie algebra of infinitesimal generators of the symmetry group of the heat equation // Journal of Applied Mathematics and Physics. 2018,6, С.373–381. DOI: 10.4236/jamp.2018.62035

. Wafo Soh C., Mahomed F.M. Reduction of order for systems of ordinary differential equations, Journal of Nonlinear Mathematical Physics, 2004, vol. 11, issue 1, pp. 13-20. DOI: 10.2991/jnmp.2004.11.1.3

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Published

2023-10-13

How to Cite

Narmanov, O. A., Mirzayev , A. N., & Nasridinov , S. S. (2023). ON THE SYMMETRY GROUP OF DIFFERENTIAL EQUATIONS. GOLDEN BRAIN, 1(28), 142–150. Retrieved from https://researchedu.org/index.php/goldenbrain/article/view/5009

Issue

Vol. 1 No. 28 (2023): GOLDEN BRAIN

Section

Articles

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