Construction of exact solutions of the Boussinesq equation : научное издание

Описание

Тип публикации: статья из журнала

Год издания: 1998

Идентификатор DOI: 10.1007/bf02468120

Ключевые слова: soliton, wave packet, Boussinesq equation, differential relation, inverse scattering transform

Аннотация: The known model of nonlinear dispersive waves, which was proposed by Boussinesq in the second half of the nineteenth century, is considered. Solutions of the Boussinesq equation, which are expressed via elementary functions and describe wave packets, their interaction between each other and with solitons, and some other structures Показать полностьюare obtained. To construct these solutions, Hirota's bilinear representation and differential relations specified by ordinary differential equations with constant coefficients are used.

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Издание

Журнал: Journal of Applied Mechanics and Technical Physics

Выпуск журнала: Т. 39, 3

Номера страниц: 389-392

ISSN журнала: 00218944

Место издания: Moscow

Издатель: Pleiades Publishing, Ltd.

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