Introduction to Soliton Theory: Applications to Mechanics

Stefania Donescu

ISBN 10: 9048166845 / ISBN 13: 9789048166848

Edité par Springer Netherlands Jan 2011, 2011

A propos de cet article

This item is printed on demand - it takes 3-4 days longer - Neuware -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. 328 pp. Englisch.

N° de réf. du vendeur 9789048166848

Détails bibliographiques

• Titre: Introduction to Soliton Theory: Applications to Mechanics
• Éditeur: Springer Netherlands Jan 2011
• Date de parution: 2011
• Langue: anglais
• ISBN à 10 chiffres: 9048166845
• ISBN à 13 chiffres: 9789048166848
• Reliure: Taschenbuch
• État de l'article: Neu
• Dimensions: 240 L x 160 H x 18 P (en millimètres) 240 millimètres de largeur par 160 millimètres de hauteur par 18 millimètres de profondeur
• Poids: 526 grammes

A propos de ce titre

Synopsis

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.