Solutions of a system of forced Burgers equation
نویسنده
چکیده
Abstract In this article, we obtain explicit solutions of a linear PDE subject to a class of radial square integrable functions with a monotonically increasing weight function |x|e 2/2, β ≥ 0, x ∈ R. This linear PDE is obtained from a system of forced Burgers equation via the Cole-Hopf transformation. For any spatial dimension n > 1, the solution is expressed in terms of a family of weighted generalized Laguerre polynomials. We also discuss the large time behaviour of the solution of the system of forced Burgers equation.
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ورودعنوان ژورنال:
- Applied Mathematics and Computation
دوره 225 شماره
صفحات -
تاریخ انتشار 2013