2023/10/19 by Yeisson Alexis Acevedo Agudelo, Danilo Hernández García, Acevedo, Yeisson +5
Mathematics · Physics and Astronomy · #11F22 #33E30 #34A34 #70G65 #76M60 #Advanced Differential Equations and Dynamical Systems #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Fractional Differential Equations Solutions #Nonlinear Waves and Solitons
paper · pdf · doi:10.48550/arxiv.2310.12438
openalex publication_date 2023/10/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We obtain the optimal system's generating operators associated with the kind generalization of the Levinson Smith equation. Using those operators we characterize all invariant solutions associated with this equation. Moreover, we present the variational symmetries and the corresponding conservation laws, using Noether's theorem. Finally, we classify the Lie algebra associated with the given equation.