1,307 research outputs found
Asymptotic soliton like solutions to the singularly perturbed Benjamin-Bona-Mahony equation with variable coefficients
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 , 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.Comment: 19 pages, 44 reference
Distribution Function of Markovian Random Evolution in Rn
Obvious view of distribution function of Markovian random evolution is found
in terms of Bessel functions of n+1-th order
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