Wronskian representations of the solutions to the Burgers’ equation

Pierre  Gaillard

doi:10.59400/jam2285

Wronskian representations of the solutions to the Burgers’ equation

Pierre Gaillard IMB UMR 5584, Université Bourgogne Europe, CNRS, F-21000 Dijon, France

Article ID: 2285

DOI: https://doi.org/10.59400/jam2285

Keywords: Wronskians; rational solutions; determinants

Abstract

A representation of the solutions to the Burgers’ equation by the Wronskiens is given. For this, we use particular polynomials and we obtain a very efficient method to construct solutions to this equation. We deduce rational solutions from the latter equation. We explicitly build solutions for first orders.

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Published

2025-02-25

How to Cite

Gaillard, P. (2025). Wronskian representations of the solutions to the Burgers’ equation. Journal of AppliedMath, 3(1), 2285. https://doi.org/10.59400/jam2285

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