On a nonlinear problem of the breaking water waves
Автор: Kirane M., Torebek B.T.
Рубрика: Математическое моделирование
Статья в выпуске: 2 т.12, 2019 года.
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The paper is devoted to the initial boundary value problem for the Korteweg-de Vries-Benjamin-Bona-Mahony equation in a finite domain. This particular problem arises from the phenomenon of long wave with small amplitude in fluid. For certain initial-boundary problems for the Korteweg-de Vries-Benjamin-Bona-Mahony equation, we obtain the conditions of blowing-up of global and travelling wave solutions in finite time. The proof of the results is based on the nonlinear capacity method. In closing, we provide the exact and numerical examples.
Breaking waves, korteweg-de vries-benjamin-bona-mahony equation, blow-up of solution, initial-boundary problems
Короткий адрес: https://sciup.org/147235004
IDR: 147235004 | DOI: 10.14529/mmp190203
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