Amirkabir University of TechnologyAUT Journal of Mathematics and Computing2783-24495120240101Analyzing of approximate symmetry and new conservation laws of perturbed generalized Benjamin-Bona-Mahony equation6169526510.22060/ajmc.2023.22573.1174ENMehdiJafariDepartment of Mathematics, Payame Noor University, PO BOX 19395-4697, Tehran, IranRazieDarvazebanzadeDepartment of Mathematics, Payame Noor University, PO BOX 19395-4697, Tehran, IranJournal Article20230722In this paper, we prove that the perturbed generalized BenjaminBona-Mahony (BBM) equation with a small parameter is approximately nonlinear self-adjoint. Itâ€™s important for constructing approximate conservation laws associated with approximate symmetries.https://ajmc.aut.ac.ir/article_5265_079f9d80c55ad4d86d3bff430d6ed4e6.pdf