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Book synopsis

This book gives an introduction to the perturbation theory for nonlinear waves in dispersive and dissipative media. The popular integrable evolution equations are generalized to include effects of dissipation, inhomogeneity, and media rotation, among others. Non-integrable model equations are also considered. A systematic description of the perturbation method based on the Lagrangian approach is developed in application to solitons, kinks, shock waves, and vortices. Moreover, the interaction of solitary waves in terms of interacting classical particles is presented. All of these basic theoretical ideas are illustrated by many practical examples throughout the book.

Book details

Book category Books in English Mathematics & science Mathematics Applied mathematics

• Full title: Asymptotic Perturbation Theory Of Waves
• Author: Yury Stepanyants, Lev Ostrovsky, Konstantin Gorshkov
• Language: English
• Binding: Hardback
• Number of pages: 228
• EAN: 9781848162358
• ISBN: 1848162359
• ID: 05103222
• Publisher: Imperial College Press
• Weight: 536 g
• Dimensions: 157 × 227 × 21 mm
• Date of publishing: 14. November 2014

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