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Asymptotic soliton like solutions to the singularly perturbed Benjamin-Bona-Mahony equation with variable coefficients
Published 3 Mar 2017 in math-ph and math.MP | (1703.01265v4)
Abstract: The paper deals with a problem of asymptotic soliton like solutions to the Benjamin-Bona-Mahony (BBM) equaion with a small parameter at the highest derivative and variable coefficients depending on the variables $x$, $t$ as well as a small parameter. There is proposed an algorithm of constructing the solutions and there are proved theorems on accuracy with which the solutions satisfy the BBM equation.
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