A Recurrence Formula of Solutions for Burgers Equations

2003/02/24 by Hongling Su, Su, Hongling, Mingling Wang +3
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/0302057

7 pages

arxiv created 2003/02/24 · arxiv updated 2009/11/30

Abstract

A Backlund transformation(BT) and a recurrence formula are derived by the homogeneous balance(HB) method. A initial problem of Burgers equations is reduced to a initial problem of heat equation by the BT, the initial problem of heat equation is resolved by the Fourier transformation method, substituting various solutions of the initial problem of the heat equation will yield solutions of the initial problem of the Burgers equations.

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