2024•Unpublished venueOpen access

Analytical Solution of Burgers Equation using Cole - Hopf Transformation: Part 1

Sourangshu Ghosh

Abstract

Burger’s Equation is a fundamental partial differential equation from fluid mechanics. The equation is used to model various physical phenomena, particularly in the study of gas dynamics and traffic flow. In this 1st article of the 2 parts articles series, we derive the Analytical Solution of the Burgers Equation using the Cole - Hopf Transformation with the help of Heat Kernel.

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Key concepts: Burgers' equation, Partial differential equation, Heat equation, Mathematics, First-order partial differential equation, Transformation (genetics), Diffusion equation, Kernel (algebra)