Nonlinear Waves and Solitons on Contours and Closed Surfaces

This volume is an introduction to nonlinear waves and soliton theory in the special environment of compact spaces such a closed curves and surfaces and other domain contours. It assumes familiarity with basic soliton theory and nonlinear dynamical systems. The first part of the book introduces the m...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلف الرئيسي: Ludu, Andrei, 19..-
التنسيق: Livre numérique
اللغة:Anglais
منشور في: Berlin, Heidelberg : Springer Berlin Heidelberg 2012.
Cham : Springer Nature
الطبعة:2nd ed. 2012.
سلاسل:Springer Series in Synergetics
الوصول للمادة أونلاين:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
ملاحظة: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Nonlinear waves and solitons on contours and closed surfaces, Andrei Ludu, Second edition, Berlin, Springer, 2012, 1 vol. (XVIII-489 p.), Springer series in synergetics, 978-3-642-22894-0
جدول المحتويات:
  • Introduction Mathematical Prerequisites The Importance of the Boundary Vector Fields, Differential Forms, and Derivatives Geometry of Curves Motion of Curves and Solitons Geometry of Surfaces Theory of Motion of Surfaces Kinematics of Hydrodynamics Dynamics of Hydrodynamics Nonlinear Surface Waves in One-Dimension Nonlinear Surface Waves in Two-Dimensions Nonlinear Surface Waves in Three-Dimensions Other Special Nonlinear Compact Systems Filaments, Chains and Solitons Solitons on the Boundaries of Microscopic Systems Nonlinear Contour Dynamics in Macroscopic Systems Mathematical Annex References Index