2012/12/14 by Mehdi Nadjafikhah, Nadjafikhah, Mehdi, Ardavan Mokhtary +1
Mathematics · Physics and Astronomy · #35B20 #35Q35 #76M60 #Advanced Differential Equations and Dynamical Systems #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Quantum chaos and dynamical systems
paper · pdf · doi:10.48550/arxiv.1212.3604
openalex publication_date 2012/12/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we apply the method of approximate transformation groups proposed by Baikov, Gaziziv and Ibragimov, to compute the first-order approximate symmetry for the Gardner equations with the small parameters. We compute the optimal system and analyze some invariant solutions of These types of equations. Particularly, general forms of approximately Galilean-invariant solutions have been computed.