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<p>Obtaining the classical solutions of quasi-linear differential equations is a complex mathematical problem usually solved by a limited number of mathematical techniques. Burgers’s equation is offered for modeling the dynamics of a viscous medium while studying the quantitative properties and classical solutions. An iterative method with new appropriate topological properties is presented to show one classical solution for the problem (<InternalRef RefID="Equ1">1.1</InternalRef>) and at least two non-negative classical solutions.</p>

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Iterative methods with new topological properties to show a new classical solutions of the Burgers equation

  • 期刊论文

  • 发表日期：

    2025年5月13日

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  • Svetlin G. Georgiev,
  • Aissa Boukarou,
  • Khaled Zennir,
  • Keltoum Bouhali

摘要

Obtaining the classical solutions of quasi-linear differential equations is a complex mathematical problem usually solved by a limited number of mathematical techniques. Burgers’s equation is offered for modeling the dynamics of a viscous medium while studying the quantitative properties and classical solutions. An iterative method with new appropriate topological properties is presented to show one classical solution for the problem (1.1) and at least two non-negative classical solutions.