Waves and Structures in Nonlinear Nondispersive Media

Part I. Foundations of the Theory of Waves in Nondispersive Media

1. Nonlinear Equations of the First Order
S. N. Gurbatov, O. V. Rudenko, A. I. Saichev

2. Generalized Solutions of Nonlinear Equations
S. N. Gurbatov, O. V. Rudenko, A. I. Saichev

3. Nonlinear Equations of the Second Order
S. N. Gurbatov, O. V. Rudenko, A. I. Saichev

4. Field Evolution Within the Framework of the Burgers Equation
S. N. Gurbatov, O. V. Rudenko, A. I. Saichev

5. Evolution of a Noise Field Within the Framework of the Burgers Equation
S. N. Gurbatov, O. V. Rudenko, A. I. Saichev

6. Multidimensional Nonlinear Equations
S. N. Gurbatov, O. V. Rudenko, A. I. Saichev

Part II. Mathematical Models and Physical Phenomena in Nonlinear Acoustics

7. Model Equations and Methods of Finding Their Exact Solutions
S. N. Gurbatov, O. V. Rudenko, A. I. Saichev

8. Types of Acoustic Nonlinearities and Methods of Nonlinear Acoustic Diagnostics
S. N. Gurbatov, O. V. Rudenko, A. I. Saichev

9. Nonlinear Sawtooth Waves
S. N. Gurbatov, O. V. Rudenko, A. I. Saichev

10. Self-action of Spatially Bounded Waves Containing Shock Fronts
S. N. Gurbatov, O. V. Rudenko, A. I. Saichev

11. Nonlinear Standing Waves, Resonance Phenomena and Frequency Characteristics of Distributed Systems
S. N. Gurbatov, O. V. Rudenko, A. I. Saichev

Keywords: Physics, Acoustics, Theoretical and Applied Mechanics, Nonlinear Dynamics, Dynamical Systems and Ergodic Theory