Exact similarity solutions and classification of symmetries for Carleman-Boltzmann Equation
Exact similarity solutions and classification of symmetries for Carleman-Boltzmann Equation
Resumen
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
Sección
Special Issue: Advances in Nonlinear Analysis and Applications
Derechos de autor 2026 Boletim da Sociedade Paranaense de Matemática
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