Inhomogeneous Burgers Equation and the Feynman-Kac Path Integral

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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.
12 pages

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Exactly Solvable and Integrable Systems, High Energy Physics - Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/94479

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/solv-int/9812014
 http://arxiv.org/abs/solv-int/9812014

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arXiv