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Inhomogeneous Burgers Equation and the Feynman-Kac Path Integral

Hans J. Wospakrik·Freddy P. Zen
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Abstract

By linearizing the inhomogeneous Burgers equation through the Hopf-Cole transformation, we formulate the solution of the initial value problem of the corresponding linear heat type equation using the Feynman-Kac path integral formalism. For illustration, we present the exact solution for the forcing term of the form: $F(x,t)=ω^2x+f(t).$ We also present the initial value problem solution for the case with a constant forcing term to compare with the known result.

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BibTeXRIS

Hans J. Wospakrik, Freddy P. Zen. 1998-12-15. Inhomogeneous Burgers Equation and the Feynman-Kac Path Integral. https://arxiv.org/abs/solv-int/9812014

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