Equivalence transformations of families of se­cond-order quasi-linear hyperbolic equations of a two-variable function

Authors

  • Dzianis S. Zhalukevich Institute of Mathematics, National Academy of Sciences of Belarus, 11 Surganava Street, Minsk 220072, Belarus

Keywords:

differential equation, Klein – Gordon equation, quasi-linear hyperbolic equation, point symmetry, equivalence transformation

Abstract

In this work, we search for infinitesimal equivalence transformations of four families of second-order quasi-linear hyperbolic equations of a two-variable function, i. e. transformations of dependent and independent variables that transform each equation of a given family into another equation of the same family. We also calculate the infinitesimal point symmetries of these equations. We conduct a comparative analysis of the obtained symmetry algebras of different families of second-order quasi-linear hyperbolic equations.

Author Biography

  • Dzianis S. Zhalukevich, Institute of Mathematics, National Academy of Sciences of Belarus, 11 Surganava Street, Minsk 220072, Belarus

    competitor at the department of differential equations

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Published

2026-09-16

Issue

No. 2 (2026): Journal of the Belarusian State University. Mathematics and Informatics

Section

Differential Equations and Optimal Control

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How to Cite

[1]
Zhalukevich, D.S. 2026. Equivalence transformations of families of se­cond-order quasi-linear hyperbolic equations of a two-variable function. Journal of the Belarusian State University. Mathematics and Informatics. 2 (Sep. 2026), 28–38.