Abstract
The stability of travelling wave solutions of Burgers’ equation is investigated. It is shown that the solution with the initial disturbance is explicitly represented by virtue of the Hopf transformation and tends to a travelling wave solution with the speed depending on behaviours at ±∞ of the initial disturbance.
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References
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Nishihara, K. A note on the stability of travelling wave solutions of Burgers’ equation. Japan J. Appl. Math. 2, 27–35 (1985). https://doi.org/10.1007/BF03167037
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DOI: https://doi.org/10.1007/BF03167037