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The paper deals with a problem of asymptotic soliton like solutions to theBenjamin-Bona-Mahony (BBM) equaion with a small parameter at the highestderivative and variable coefficients depending on the variables $x$, $t$ aswell as a small parameter. There is proposed an algorithm of constructing thesolutions and there are proved theorems on accuracy with which the solutionssatisfy the BBM equation.

Asymptotic soliton like solutions to the singularly perturbed Benjamin-Bona-Mahony equation with variable coefficients