Analyzing of approximate symmetry and new conservation laws of perturbed generalized Benjamin-Bona-Mahony equation

Abstract

In this paper, we prove that the perturbed generalized BenjaminBona-Mahony (BBM) equation with a small parameter is approximately nonlinear self-adjoint. It’s important for constructing approximate conservation laws associated with approximate symmetries.

Keywords

• perturbed generalized generalized benjamin-bona-mahony (bbm) equation
• approximate symmetry
• approximate conservation laws
• self-adjoint