Inhomogeneous Burgers Equation and the Feynman-Kac Path Integral

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dc.creatorWospakrik, Hans J.
dc.creatorZen, Freddy P.
dc.date1998-12-15
dc.date.accessioned2026-07-07T06:17:43Z
dc.date.available2026-07-07T06:17:43Z
dc.descriptionBy 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.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/solv-int/9812014
dc.identifierhttp://arxiv.org/abs/solv-int/9812014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94479
dc.subjectExactly Solvable and Integrable Systems
dc.subjectHigh Energy Physics - Theory
dc.titleInhomogeneous Burgers Equation and the Feynman-Kac Path Integral
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