Nonlinear Solitary Waves in Nonlocal Elastic Solids / Pamyatnykh E. A.,Ursulov A. V. // ACOUSTICAL PHYSICS. - 2012. - V. 58, l. 2. - P. 160-165.

ISSN/EISSN:

1063-7710 / нет данных

Type:

Article

Abstract:

The possibility of new weakly nonlinear solitary waves in nonlocal elastic media is demonstrated. The properties of these waves are determined by the characteristic features of wave dispersion in the linear approximation, and their velocity and amplitude cannot exceed certain limiting values. In the case of small amplitudes and velocities close to the velocity of sound, the profile of the waves under consideration coincides with the profile of the soliton described by the Korteweg-de Vries equation. When the amplitude and velocity of the aforementioned waves reach their limiting values, the wave profile sharpens. It is concluded that the propagation of such waves in rocks and soils is possible.

Author keywords:

nonlocality; soliton; limiting-amplitude wave

DOI:

10.1134/S1063771012010162

Web of Science ID:

ISI:000304615500004

Соавторы в МНС:

Другие поля

Поле	Значение
Month	MAR
Publisher	MAIK NAUKA/INTERPERIODICA/SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language	English
Research-Areas	Acoustics
Web-of-Science-Categories	Acoustics
Author-Email	Andrey.Ursulov@usu.ru
ResearcherID-Numbers	Pamyatnykh, Evgeny/S-5416-2016
Number-of-Cited-References	28
Usage-Count-Last-180-days	2
Usage-Count-Since-2013	27
Journal-ISO	Acoust. Phys.
Doc-Delivery-Number	949YW