Problems with energy of waves described by Korteweg – de Vries equation

Anna Karczewska, Piotr Rozmej, Łukasz Rutkowski

Abstract


Different forms of the Korteweg -- de Vries equation and their invariants are presented. Different formulas for the energy  of the system described by KdV equation are compared to each other for fixed and moving coordinate systems. It is shown that the energy conservation holds only in moving coordinate systems.

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References


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DOI: http://dx.doi.org/10.17951/aaa.2015.70.43
Date of publication: 2016-04-29 12:28:29
Date of submission: 2015-09-23 17:04:11


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