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

• Authors: Anna Karczewska , Piotr Rozmej , Łukasz Rutkowski
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

• Publisher: Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
• Journal: Annales Universitatis Mariae Curie-Skłodowska, sectio AAA – Physica
• Year: 2015
• Volume: 70

Dates

published

2015

online

29 - 04 - 2016

Contributors

author

Anna Karczewska

author

Piotr Rozmej

author

Łukasz Rutkowski

References

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Identifiers

DOI

10.17951/aaa.2015.70.43