Inhomogeneous Burgers Equation and the Feynman-Kac Path Integral
solv-int
2007-05-23 v1 High Energy Physics - Theory
Exactly Solvable and Integrable Systems
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: We also present the initial value problem solution for the case with a constant forcing term to compare with the known result.
Keywords
Cite
@article{arxiv.solv-int/9812014,
title = {Inhomogeneous Burgers Equation and the Feynman-Kac Path Integral},
author = {Hans J. Wospakrik and Freddy P. Zen},
journal= {arXiv preprint arXiv:solv-int/9812014},
year = {2007}
}
Comments
12 pages