Document Type : Original Article

**Authors**

Department of Mathematics, Payame Noor University, PO BOX 19395-4697, Tehran, Iran

**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

**Main Subjects**

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