Waves and Hyperbolic Equations

  • Alexander I. Saichev
  • Wojbor A. Woyczyński
Part of the Applied and Numerical Harmonic Analysis book series (ANHA)


Waves are everywhere, literally, and our senses are acutely attuned to waves of various types: mechanical, water, acoustic, electromagnetic, optical, etc. Moreover, quantum mechanics tells us that matter itself is, in a sense, indistinguishable from waves. In this chapter we concentrate on properties of linear waves in dispersive media; a discussion of nonlinear waves will be postponed until Chaps. 12–14. Here the methods of choice are integral transforms and asymptotic relations, especially the Fourier transform and the stationary phase method.


Transmission Line Wave Packet Group Velocity Dispersive Medium Harmonic Wave 
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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • Alexander I. Saichev
    • 1
    • 2
  • Wojbor A. Woyczyński
    • 3
  1. 1.Department of Management, Technology, and EconomicsETH ZürichZürichSwitzerland
  2. 2.Department of Radio PhysicsUniversity of Nizhniy NovgorodNizhniy NovgorodRussia
  3. 3.Department of Mathematics, Applied Mathematics and Statistics, and Center for Stochastic and Chaotic Processes in Science and TechnologyCase Western Reserve UniversityClevelandUSA

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