On stationary solutions of KdV and mKdV equations

Stationary solutions on a bounded interval for an initial-boundary value problem to Korteweg–de Vries and modified Korteweg–de Vries equation (for the last one both in focusing and defocusing cases) are constructed. The method of the study is based on the theory of conservative systems with one degree of freedom. The obtained solutions turn out to be periodic. Exact relations between the length of the interval and coefficients of the equations which are necessary and sufficient for the existence of nontrivial solutions are established. © Springer International Publishing Switzerland 2016.

Авторы
Редакторы
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Сборник материалов конференции
Издательство
Springer New York LLC
Номер выпуска
-
Язык
Английский
Страницы
63-70
Статус
Опубликовано
Подразделение
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Ссылка
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Номер
-
Том
164
Год
2016
Организации
  • 1 Peoples’ Friendship University of Russia, Miklukho-Maklai str. 6, Moscow, 117198, Russian Federation
Ключевые слова
KdV equation; Stationary solutions
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/4087/