Waves and Structures in Nonlinear Nondispersive Media General Theory and Applications to Nonlinear Acoustics /

• Main Authors: Gurbatov, S. N. (Author), Rudenko, O. V. (Author), Saichev, A. I. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2012.
• Series: Nonlinear Physical Science,
• Subjects: Physics.; Dynamics.; Ergodic theory.; Acoustics.; Statistical physics.; Mechanics.; Mechanics, Applied.; Theoretical and Applied Mechanics.; Nonlinear Dynamics.; Dynamical Systems and Ergodic Theory.

"Waves and Structures in Nonlinear Nondispersive Media: General Theory and Applications to Nonlinear Acoustics” is devoted completely to nonlinear structures. The general theory is given here in parallel with mathematical models. Many concrete examples illustrate the general analysis of Part I....

Table of Contents:

• Part I. Foundations of The Theory of Waves in Nondispersive. Nonlinear Equations of The First Order
• Generalized Solutions of Nonlinear Equation
• Nonlinear Equations of The Second Order
• Field Evolution Governed by Burgers Equation
• Evolution of A Noise Field Governed
• Multi-dimensional Nonlinear Equations
• Part II. Mathematical Models and Physical Phenomena in Nonlinear Acoustics. Model Equations and Methods Of Finding of Their Exact Solutions
• Types of Acoustic Nonlinearities and Methods of Nonlinear Acoustic Diagnostics
• Nonlinear Sawtooth Waves
• Self-Action of Spatially Bounded Waves Containing Shock Fronts
• Nonlinear Standing Waves, Resonance Phenomena and Frequency Characteristics of Distributed Systems.