Research Reports in Physics
cover

Nonlinear Waves in Inhomogeneous and Hereditary Media

Authors: Lokshin, Alexandr A., Sagomonyan, Elena A.

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About this book

This booklet presents a study of one-dimensional waves in solids which can be modelled by nonlinear wave equations of different types. The factorization method is the main tool in this analysis. It allows for an exact or at least asymp­ totic decomposition of the wave(s) under consideration in terms of first order multipliers. Chapter 1 provides a general introduction. It presents some well-known results on characteristics, Riemann invariants, simple waves, etc. The main result of Chap. 1 is Theorem 1.3.2. (Sect. 1.3.2) which establishes the possibility of exact factorization of the nonlinear wave equation EPa(a) 1 EPa _ 0 Ij(l-u- x2 with constant coefficients. This theorem permits one to construct further factor­ izations of more complicated wave equations which the reader will meet in the following chapters. Chapter 2 is devoted to short wave processes in inhomogeneous media, the main result being the uniform asymptotic factorization of nonlinear wave equa­ tions with variable coefficients and the description of corresponding single-wave processes without the usual assumption of a small wave amplitude.

Buy this book

Softcover $149.00
price for USA
  • ISBN 978-3-540-54536-1
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock

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Bibliographic Information

Bibliographic Information
Book Title
Nonlinear Waves in Inhomogeneous and Hereditary Media
Authors
Series Title
Research Reports in Physics
Copyright
1992
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
Softcover ISBN
978-3-540-54536-1
Series ISSN
0939-7426
Edition Number
1
Number of Pages
X, 121
Number of Illustrations
4 b/w illustrations
Topics