1980•Journal of Physics A Mathematical and GeneralOpen access

A systematic method for the solution of some nonlinear evolution equations. I. The Burgers equations

W. Malfliet

Abstract

The eigenfunction method introduced by Van Kampen (1977) to solve a Fokker-Planck equation is extended and applied to a related partial differential equation. From this analysis we are able to obtain the solution of the Burgers and the damped Burgers equation in a systematic way.

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Key concepts: Burgers' equation, Eigenfunction, Partial differential equation, Nonlinear system, Mathematics, Fokker–Planck equation, Mathematical analysis, First-order partial differential equation