Introduction to soliton theory: applications to mechanics
This monograph is planned to provide the application of the soliton theory to solve certain practical problems selected from the fields of solid mechanics, fluid mechanics and biomechanics. The work is based mainly on the authors’ research carried out at their home institutes, and on some specified, significant results existing in the published literature. The methodology to study a given evolution equation is to seek the waves of permanent form, to test whether it possesses any symmetry properties, and whether it is stable and solitonic in nature. Students of physics, applied mathematics, and engineering are usually exposed to various branches of nonlinear mechanics, especially to the soliton theory. The soliton is regarded as an entity, a quasi-particle, which conserves its character and interacts with the surroundings and other solitons as a particle. It is related to a strange phenomenon, which consists in the propagation of certain waves without attenuation in dissipative media. This phenomenon has been known for about 200 years (it was described, for example, by the Joule Verne's novel Les histoires de Jean Marie Cabidoulin, Éd. Hetzel), but its detailed quantitative description became possible only in the last 30 years due to the exceptional development of computers. The discovery of the physical soliton is attributed to John Scott Russell. In 1834, Russell was observing a boat being drawn along a narrow channel by a pair of horses.
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|Grouped Work ID||ad4bc3a6-6e31-2d24-4fe1-d0eeb0d1ea1d|
|full_title||introduction to soliton theory applications to mechanics|
|owning_library_arlington||Arlington Public Library Online, Aurora Hills Online, Central Online, Cherrydale Online, Columbia Pike Online, Connection Crystal City Online, Detention Center Online, Glencarlyn Online, Local History Online, Plaza Online, Shirlington Online, Westover Online|
|record_details||external_econtent:ils:.b13109182|eBook|eBook||English|Kluwer Academic Publishers,|c2004.|xi, 308 p. : ill. ; 25 cm.|
|scoping_details_arlington||external_econtent:ils:.b13109182||Available Online|Available Online|false|true|false|false|false|true|||||
|series||Fundamental theories of physics|
|series_with_volume||Fundamental theories of physics|v. 143.|
|title_display||Introduction to soliton theory applications to mechanics|
|title_full||Introduction to soliton theory [electronic resource] : applications to mechanics / by Ligia Munteanu and Stefania Donescu|
|title_short||Introduction to soliton theory|
|title_sub||applications to mechanics|