Wave phenomena: modern theory and applications

C. Rogers, T. Bryant Moodie0444875867, 9780444875860

Table of contents :
Wave Phenomena: Modern Theory and Applications……Page 4
Copyright Page……Page 5
LIST OF CONTENTS……Page 7
Preface……Page 6
CHAPTER 1. EQUATIONS OF EVOLUTION AND WAVES……Page 10
CHAPTER 2. RATIONAL FUNCTION FREQUENCY EXTRAPOLATION IN ULTRASONIC TOMOGRAPHY……Page 28
CHAPTER 3. NONLINEAR TRAVELLING WAVES IN FLUIDS……Page 44
CHAPTER 4. SECOND ORDER WAVE INTERACTION WITH LARGE STRUCTURES……Page 58
CHAPTER 5. ACCELERATION WAVES IN ISOTROPIC CONSTRAINED THERMOELASTIC MATERIALS……Page 80
CHAPTER 7. A THEORY OF DYNAMICAL FERROELECTRICITY……Page 92
CHAPTER 8. SOLITARY WAVE SOLUTIONS OF GENERALISED KORTEWEG-DE VRIES EQUATIONS……Page 114
CHAPTER 9. GEOMETRICAL CRYSTAL ACOUSTICS……Page 122
CHAPTER 10. RIEMANN INVARIANTS……Page 132
CHAPTER 11. VARIATIONAL FORMULATION OF THE SINGULAR SURFACE PROPAGATION IN NONSIMPLE ELASTIC MATERIALS……Page 162
CHAPTER 12. FORCED INTEGRABLE SYSTEMS……Page 172
CHAPTER 13. INHOMOGENEOUS PLANE WAVES IN INCOMPRESSIBLE ELASTIC MATERIALS……Page 184
CHAPTER 14. CAN ACOUSTIC FOCUSING GENERATE TURBULENT SPOTS?……Page 202
CHAPTER 15. NONLINEAR WAVES IN THE PELLET FUSION PROCESS……Page 208
CHAPTER 16. ENTROPY PRINCIPLE, SYMMETRIC HYPERBOLIC SYSTEMS AND SHOCK WAVES……Page 220
CHAPTER 17. DIFFERENTIAL AND DISCRETE SPECTRAL PROBLEMS AND THEIR INVERSES……Page 230
CHAPTER 18. WAVEFRONT FIELDS IN THE SCATTERING OF TRANSIENT ELASTIC WAVES BY A SURFACE-BREAKING CRACK……Page 242
CHAPTER 19. WIENER-HOPF ANALYSIS: AN APPRAISAL AND A NON-STANDARD APPLICATION……Page 262
CHAPTER 20. STRESS WAVE PROPAGATION IN DISCRETE RANDOM SOLIDS……Page 276
CHAPTER 21. DO LIOUVILLE’S SOLUTIONS POSSESS TOPOLOGICAL CHARGE?……Page 288
CHAPTER 22. DISLOCATIONS IN THE DYNAMIC ANALYSIS OF CRACKS……Page 302
CHAPTER 23. A BÄCKLUND TRANSFORMATION FOR A NONLINEAR TELEGRAPH EQUATION……Page 308
CHAPTER 24. ON LINEAR DISPERSIVE WAVES WITH DISSIPATION……Page 316
CHAPTER 25. LIMITING GASDYNAMIC THEORY AND ITS APPLICATIONS……Page 328
CHAPTER 26. SCATTERING OF ACOUSTIC WAVES BY IMPEDANCE SURFACES……Page 338
CHAPTER 27. INTERACTING NONLINEAR WAVES IN A NEURAL CONTINUUM MODEL: ASSOCIATIVE MEMORY AND PATTERN RECOGNITION……Page 346
CHAPTER 28. SOLITON DYNAMIC STATES IN THE SINE-GORDON SYSTEM……Page 358
CHAPTER 29. AN ASYMPTOTIC ANALYSIS OF ACOUSTIC SCATTERING BY NEARLY RIGID OR SOFT TARGETS……Page 370
CHAPTER 30. SYMMETRY REDUCTION FOR NONLINEAR WAVE EQUATIONS IN RIEMANNIAN AND PSEUDO-RIEMANNIAN SPACES……Page 382
CHAPTER 31. INTEGRAL REPRESENTATIONS FOR SOLUTIONS TO SOME DIFFERENTIAL EQUATIONS THAT ARISE IN WAVE THEORY……Page 400
CHAPTER 32. NONLINEAR WAVE PHENOMENA IN THE BRAIN……Page 418
CHAPTER 33. SOLITON SOLUTIONS TO ZAKHAROV-SHABAT SYSTEMS BY THE REDUCTION METHOD……Page 432
CHAPTER 34. MULTIPLE SCATTERING BY SH WAVES BY RANDOMLY DISTRIBUTED DISSIMILAR SCATTERERS……Page 442
CHAPTER 35. AN INTEGRAL EQUATION ARISING IN DIFFRACTION THEORY……Page 462