Waves and Structures in Nonlinear Nondispersive Media

General Theory and Applications to Nonlinear Acoustics

Authors:

ISBN: 978-3-642-23616-7 (Print) 978-3-642-23617-4 (Online)

Table of contents (11 chapters)

  1. Front Matter

    Pages i-xiv

  2. Foundations of the Theory of Waves in Nondispersive Media

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-37

      Nonlinear Equations of the First Order

    3. No Access

      Book Chapter

      Pages 39-82

      Generalized Solutions of Nonlinear Equations

    4. No Access

      Book Chapter

      Pages 83-115

      Nonlinear Equations of the Second Order

    5. No Access

      Book Chapter

      Pages 117-152

      Field Evolution Within the Framework of the Burgers Equation

    6. No Access

      Book Chapter

      Pages 153-187

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

    7. No Access

      Book Chapter

      Pages 189-244

      Multidimensional Nonlinear Equations

  3. Mathematical Models and Physical Phenomena in Nonlinear Acoustics

    1. Front Matter

      Pages 245-245

    2. No Access

      Book Chapter

      Pages 247-269

      Model Equations and Methods of Finding Their Exact Solutions

    3. No Access

      Book Chapter

      Pages 271-307

      Types of Acoustic Nonlinearities and Methods of Nonlinear Acoustic Diagnostics

    4. No Access

      Book Chapter

      Pages 309-355

      Nonlinear Sawtooth Waves

    5. No Access

      Book Chapter

      Pages 357-387

      Self-action of Spatially Bounded Waves Containing Shock Fronts

    6. No Access

      Book Chapter

      Pages 389-439

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

  4. Back Matter

    Pages 441-472