Asymptotic Perturbation Theory of Waves

Kids, School Tools, Mathematics, Algebra, Nonfiction, Science & Nature, Science, Physics, Waves & Wave Mechanics, Entertainment, Music
Cover of the book Asymptotic Perturbation Theory of Waves by Lev Ostrovsky, World Scientific Publishing Company
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Lev Ostrovsky ISBN: 9781783264735
Publisher: World Scientific Publishing Company Publication: September 23, 2014
Imprint: ICP Language: English
Author: Lev Ostrovsky
ISBN: 9781783264735
Publisher: World Scientific Publishing Company
Publication: September 23, 2014
Imprint: ICP
Language: English

This book is an introduction to the perturbation theory for linear and nonlinear waves in dispersive and dissipative media. The main focus is on the direct asymptotic method which is based on the asymptotic expansion of the solution in series of one or more small parameters and demanding finiteness of the perturbations; this results in slow variation of the main-order solution. The method, which does not depend on integrability of basic equations, is applied to quasi-harmonic and non-harmonic periodic waves, as well as to localized waves such as solitons, kinks, and autowaves. The basic theoretical ideas are illustrated by many physical examples throughout the book.

Contents:

  • Perturbed Oscillations and Waves: Introductory Examples
  • Perturbation Method for Quasi-Harmonic Waves
  • Perturbation Method for Non-Sinusoidal Waves
  • Nonlinear Waves of Modulation
  • Perturbation Methods for Solitary Waves and Fronts
  • Perturbed Solitons
  • Interaction and Ensembles of Solitons and Kinks
  • Dissipative and Active Systems. Autowaves

Readership: Graduate students and young researchers in nonlinear science, physicists and applied mathematicians.
Key Features:

  • Especially useful for graduate and PhD students as well as young researchers dealing with the nonlinear wave theory and its applications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This book is an introduction to the perturbation theory for linear and nonlinear waves in dispersive and dissipative media. The main focus is on the direct asymptotic method which is based on the asymptotic expansion of the solution in series of one or more small parameters and demanding finiteness of the perturbations; this results in slow variation of the main-order solution. The method, which does not depend on integrability of basic equations, is applied to quasi-harmonic and non-harmonic periodic waves, as well as to localized waves such as solitons, kinks, and autowaves. The basic theoretical ideas are illustrated by many physical examples throughout the book.

Contents:

Readership: Graduate students and young researchers in nonlinear science, physicists and applied mathematicians.
Key Features:

More books from World Scientific Publishing Company

Cover of the book Electromagnetic Scattering by Lev Ostrovsky
Cover of the book Cardioprotective Natural Products by Lev Ostrovsky
Cover of the book Review Comment Analysis for E-commerce by Lev Ostrovsky
Cover of the book Quantum Mechanics by Lev Ostrovsky
Cover of the book From Stars to Stalagmites by Lev Ostrovsky
Cover of the book Basics of Statistical Physics by Lev Ostrovsky
Cover of the book Number Theory: Plowing and Starring Through High Wave Forms by Lev Ostrovsky
Cover of the book Angel Investing in China by Lev Ostrovsky
Cover of the book Theory and Applications of Ocean Surface Waves by Lev Ostrovsky
Cover of the book Psychological Capital by Lev Ostrovsky
Cover of the book Statistical Paradigms by Lev Ostrovsky
Cover of the book An Essential Guide to Developing, Implementing, and Evaluating Objective Structured Clinical Examination (OSCE) by Lev Ostrovsky
Cover of the book Teaching and Learning with Technology by Lev Ostrovsky
Cover of the book Publishing and the Advancement of Science by Lev Ostrovsky
Cover of the book Applications of Calculus to Biology and Medicine by Lev Ostrovsky
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy