$2N$ Parameter Solutions to the Burgers' Equation

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Authors

  • Pierre Gaillard Institut de mathématiques de Bourgogne, 9 avenue Alain Savary BP 47870 21078, Dijon Cedex, Dijon, France Author

DOI:

https://doi.org/10.5890/JAND.2022.03.005

Abstract

We construct $2N$ real parameter solutions to the Burgers' equation in terms of determinant of order $N$ and we call these solutions, $N$ order solutions. We deduce general expressions of these solutions in terms of exponentials and study the patterns of these solutions in functions of the parameters for $N=1$ until $N=4$.

References

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PublishedMarch 2022

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How to Cite

Gaillard, P. (2022). $2N$ Parameter Solutions to the Burgers’ Equation. Journal of Applied Nonlinear Dynamics, 11(1), 69-74. https://doi.org/10.5890/JAND.2022.03.005