Wave phenomena: Modern theory and applications

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Page iii

Copyright page
Page iv

Preface
Page v

Equations of Evolution and Waves Original Research Article
Pages 1-17
Alan Jeffrey

Rational Function Frequency Extrapolation in Ultrasonic Tomography Original Research Article
Pages 19-34
F. Stenger, M.J. Berggren, S.A. Johnson, C.H. Wilcox

Nonlinear Travelling Waves in Fluids Original Research Article
Pages 35-48
P.L. Sachdev

Second Order Wave Interaction With Large Structures Original Research Article
Pages 49-69
M. Rahman

Acceleration Waves in Isotropic Constrained Thermoelastic Materials Original Research Article
Pages 71-82
B.D. Reddy

A Lagrangian View of Wave-Mean Flow Interaction Original Research Article
Pages 83-98
R. Grlmshaw

A Theory of Dynamical Ferroelectricity Original Research Article
Pages 99-103
Peter J. Chen

Solitary Wave Solutions of Generalized Korteweg-De Vries Equations Original Research Article
Pages 105-111
F.A. Howes

Geometrical Crystal Acoustics Original Research Article
Pages 113-122
R.S.D. Thomas, H. Cohen

Riemann Invariants Original Research Article
Pages 123-152
A.M. Grundland

Variational Formulation of the Singular Surface Propagation in Nonsimple Elastic Materials Original Research Article
Pages 153-162
Jacek Turski

Forced Integrable Systems Original Research Article
Pages 163-174
David J. Kaup

Inhomogeneous Plane Waves in Incompressible Elastic Materials Original Research Article
Pages 175-191
Michael Hayes

Can Acoustic Focusing Generate Turbulent Spots? Original Research Article
Pages 193-198
Gregory A. Kriegsmann, Edward L. Reiss

Nonlinear Waves in the Pellet Fusion Process Original Research Article
Pages 199-210
V.J. Ervin, W.F. Ames, E. Adams

Entropy Principle, Symmetric Hyperbolic Systems and Shock Waves Original Research Article
Pages 211-220
Tommaso Ruggeri

Differential and Discrete Spectral Problems and Their Inverses Original Research Article
Pages 221-232
P.J. Caudrey

Wavefront Fields in the Scattering of Transient Elastic Waves by A Surface-Breaking Crack Original Research Article
Pages 233-251
Julius Miklowitz, Constantine Chazapis

Wiener-Hopf Analysis: An Appmisal and A Non-Standard Application Original Research Article
Pages 253-265
Harold Levine

Stress Wave Propagation in Discrete Random Solids Original Research Article
Pages 267-278
Martin Ostoja-Starzewski

Do Liouville\'S Solutions Possess Topological Charge? Original Research Article
Pages 279-292
George Leibbrandt

Dislocations in the Dynamic Analysis of Cracks Original Research Article
Pages 293-298
Louis M. Brock

A Bäcklund Transformation for A Nonlinear Telegraph Equation Original Research Article
Pages 299-306
Brian Seymour, Eric Varley

On Linear Dispersive Waves With Dissipation Original Research Article
Pages 307-317
Francesco Mainardi

Limiting Gasdynamic Theory and Its Applications Original Research Article
Pages 319-327
W.H. Hui, H.J. Van Roessel

Scattering of Acoustic Waves by Impedance Surfaces Original Research Article
Pages 329-336
T.S. Angell, R.E. Kleinman

Interacting Nonlinear Waves in A Neural Continuum Model:. Associative Memory and Pattern Recognition Original Research Article
Pages 337-347
Marcus S. Cohen

Soliton Dynamic States in the Sine-Gordon System Original Research Article
Pages 349-360
Peter Leth Christiansen

An Asymptotic Analysis of Acoustic Scattering by Nearly Rigid or Soft Targets Original Research Article
Pages 361-372
Gregory A. Krlegsmann, Andrew Norris, Edward L. Reiss

Symmetry Reduction for Nonlinear wave Equations in Riemannian and Pseudo-Riemannian Spaces Original Research Article
Pages 373-390
A.M. Grundland, J. Harnad, P. Winternitz

Integral Representations For Solutions to Some Differential Equations That Arise in Wave Theory Original Research Article
Pages 391-408
Robert F. Millar

Nonlinear Wave Phenomena in the Brain Original Research Article
Pages 409-421
Robert M. Miura

Soliton Solutions to Zakharov-Shabat Systems by The Reduction Method Original Research Article
Pages 423-432
J. Harnad, Y. Saint-Aubin, S. Shnider

Multiple Scattering of SH Waves by Randomly Distributed Dissimilar Scatterers Original Research Article
Pages 433-451
Matthew F. McCarthy, Michael M. Carroll

An Integral Equation Arising in Diffraction Theory Original Research Article
Pages 453-459
R.A. Ross