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In this paper, we prove that the Gardner equation with the small parameter is approximately nonlinear self-adjoint. This property is important for constructing approximate conservation laws associated with approximate symmetries. We utilize firstorder approximate symmetries for constructing approximate conservation laws.

Narges Pourrostami, Mehdi Nadjafikhah. (2017) Approximate Nonlinear Self-Adjointness and Approximate Conservation Laws of the Gardner Equation, Punjab University Journal of Mathematics, Volume 49, Issue 1.
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