4 Field EvolutionWithin the Framework of the Burgers Equation

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Waves and structures in nonlinear nondis 作者：S.N. Gurbatov, O.V. Rudenko,　　 ISBN：978-7-04-031695-7　出版时间：2011-08-30

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Front Matter

Part I Foundations of the Theory of Waves in Nondispersive Media

1 Nonlinear Equations of the First Order

2 Generalized Solutions of Nonlinear Equations

3 Nonlinear Equations of the Second Order

4 Field EvolutionWithin the Framework of the Burgers Equation

5 Evolution of a Noise Field Within the Framework of the Burgers Equation

6 Multidimensional Nonlinear Equations

Part II Mathematical Models and Physical Phenomena in Nonlinear Acoustics

7 Model Equations and Methods of Finding Their Exact Solutions

8 Types of Acoustic Nonlinearities and Methods of Nonlinear Acoustic Diagnostics

9 Nonlinear Sawtooth Waves

10 Self-action of Spatially BoundedWaves Containing Shock Fronts

11 Nonlinear Standing Waves, Resonance Phenomena and Frequency Characteristics of Distributed Systems

Appendix Fundamental Properties of Generalized Functions

Index
- 4.1 Evolution of one-dimensional signals
- 4.1.1 Self-similar solution, once more
- 4.1.2 Approach to the linear stage
- 4.1.3 N-wave and U-wave
- 4.1.4 Sawtooth waves
- 4.1.5 Periodic waves
- 4.2 Evolution of complex signals
- 4.2.1 Quasiperiodic complex signals
- 4.2.2 Evolution of fractal signals
- 4.2.3 Evolution of multi-scale signals — a dynamic turbulence model
- 4.3 Problems to Chapter 4
- References

4 Field EvolutionWithin the Framework of the Burgers Equation

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