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力学基础与工程技术前沿
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
9.1 Sawtooth waves
9.2 Field and spectral approaches in the theory of nonlinear waves
9.2.1 General remarks
9.2.2 Generation of harmonics
9.2.3 Degenerate parametric interaction
9.3 Diffracting beams of sawtooth waves
9.4 Waves in inhomogeneous media and nonlinear geometric acoustics
9.5 The focusing of discontinuous waves
9.6 Nonlinear absorption and saturation
9.7 Kinetics of sawtooth waves
9.8 Interaction of waves containing shock fronts
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9 Nonlinear Sawtooth Waves
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