Why Burgers Equation: Symmetry-Based Approach
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In many application areas ranging from shock waves to acoustics, we encounter the same partial differential equation known as the Burgers’ equation. The fact that the same equation appears in different application domains, with different physics, makes us conjecture that it can be derived from the fundamental principles. Indeed, in this paper, we show that this equation can be uniquely determined by the corresponding symmetries.
This work was supported in part by the US National Science Foundation grant HRD-1242122.
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