Exact similarity solutions and classification of symmetries for Carleman-Boltzmann Equation

Exact similarity solutions and classification of symmetries for Carleman-Boltzmann Equation

Autores

  • Abdelkarim DAHNI Mathématiques
  • H. El Kinani
  • A. Ouhadan

DOI:

https://doi.org/10.5269/bspm.81684

Resumo

In this paper, we show that the symmetry algebra admitted by the CarlemanBoltzmann equation is solvable, not semi simple and not nilpotent. Furthermore, by applying the Ovsiannikov’s approach, we construct one, two and three dimensional optimal systems. Based on the structurally important informations containing in the obtained optimal systems, we construct numerous reduction equations and we get some exact solutions.

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Publicado

2026-04-17

Edição

Seção

Conf. Issue: Advances in Nonlinear Analysis and Applications