hydrophysicsФундаментальная и прикладная гидрофизикаFundamental and Applied Hydrophysics2073-66732782-5221St. Petersburg Research Center of the Russian Academy of Scienceshydrophysics-1044Research ArticleФУНДАМЕНТАЛЬНЫЕ ВОПРОСЫ ГИДРОФИЗИКИFUNDAMENTAL ISSUES OF HYDROPHYSICSМоделирование сохранения энергии в полностью интегрируемой системе БуссинескаModeling Energy Conservation in a Completely Integrable Boussinesq systemАлиА.AliA.КалишХ.KalischH.Henrik.Kalisch@math.uib.noДепартамент математики, Университет БергенаNorway201327112022637883Copyright © Али А., Калиш Х., 20222022Али А., Калиш Х.Ali A., Kalisch H.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://hydrophysics.spbrc.ru/jour/article/view/1044

Представлен вывод плотности энергии и потока энергии морских волн в рамках модели Каупа, являющейся одним из вариантов системы Буссинеска. Этот вывод основан на процедуре восстановления поля скорости и давления в объеме жидкости под свободной поверхностью, обобщающей метод, ранее предложенный авторами. Показано, что полная волновая энергия совпадает с гамильтонианом, представленным В. Крейгом и М. Грувсом.

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The authors declare that there are no conflicts of interest present.