Burgers' Equation

The partial differential equation

(Benton and Platzman 1972; Zwillinger 1995, p. 417; Zwillinger 1997, p. 130). The so-called nonplanar Burgers equation is given by

(Sachdev and Nair 1987; Zwillinger 1997, p. 131).

REFERENCES:

Benton, E. R. and Platzman, G. W. "A Table of Solutions of the of the One-Dimensional Burgers Equation." Quart. Appl. Math. 30, 195-212, 1972.

Sachdev, P. L. and Nair, K. R. C. "Generalized Burgers Equations and Euler-Painlevé Transcendents. II." J. Math. Phys. 28, 997-1004, 1987.

Zwillinger, D. (Ed.). CRC Standard Mathematical Tables and Formulae. Boca Raton, FL: CRC Press, p. 417, 1995.

Zwillinger, D. Handbook of Differential Equations, 3rd ed. Boston, MA: Academic Press, p. 130, 1997.