A Step by Step Approach to Determination of Self-Adjointness and Conservation Laws for a General Burgers Equation


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Authors

  • Kevin Wambura School of Biological, Physical, Mathematics and Actuarial Sciences, Jaramogi Oginga Odinga University of Science and Technology, Bondo, Kenya

Keywords:

Differential equations, Self-adjointness, Lie symmetry generators, Conservation laws

Abstract

In this paper, the self-adjointness of a general Burgers equation that appears in a wide range of physical applications is investigated. The equation is shown to be quasi self-adjoint but not self-adjoint. Finally, the Ibragimov's theorem on conservation laws is used to construct some of the conservation laws of the equation.

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Published

20-12-2022

How to Cite

Wambura, K. (2022). A Step by Step Approach to Determination of Self-Adjointness and Conservation Laws for a General Burgers Equation. International Journal of Mathematics And Its Applications, 10(4), 21–28. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/691

Issue

Vol. 10 No. 4 (2022)

Section

Research Article

License

Copyright (c) 2022 International Journal of Mathematics And its Applications

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