A multidimensional superposition principle: Classical solitons I

A concept that easily explains both classical solitonic and more complex wave interactions is proposed for differential equations. Nonlinear PDEs associated with the Riccati equations via 'truncated expansions' are considered, and the existence of the KdV-type soliton/kink is shown. Other interactions, including inelastic ones, are indicated. © 2001 Elsevier Science B.V.

Авторы
Редакторы
-
Издательство
-
Номер выпуска
4
Язык
Английский
Страницы
198-208
Статус
Опубликовано
Подразделение
-
Номер
-
Том
278
Год
2001
Организации
  • 1 Laboratory of Computer Physics and Mathematical Simulation, Research Division Faculty of PhysicsMathematics and Natural Sciences, University of Russia, 6 Miklukho-Maklaya str., Moscow 117198, Russian Federation
Ключевые слова
Nonlinear interaction; Nonlinear PDE; Soliton; Superposition
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/353/