Introduction to the Mathematical Physics of Nonlinear Waves (Second Edition)
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Introduction to the Mathematical Physics of Nonlinear Waves (Second Edition): (IOP ebooks)

Introduction to the Mathematical Physics of Nonlinear Waves (Second Edition): (IOP ebooks)


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About the Book

Written for students at upper-undergraduate and graduate levels, it is suitable for advanced physics courses on nonlinear physics. The book covers the fundamental properties of nonlinear waves, dealing with both theory and experiment. The aim is to emphasize established tools and introduce new methods underpinning important new developments in this field, especially as applied to solid-state materials. The updated edition has been extended to emphasize the importance of thermodynamics in a description of modulated crystals and contains new chapters on superconductivity that can be interpreted by the soliton mechanism.   It is also updated to include new end-of-chapter problems.

Table of Contents:
PrefacePreface to the 1st edition1 Introduction: nonlinearity and elliptic functions in classical mechanics2 Wave propagation, singularities and boundaries3 Order variables for structural phase transition4 Soft modes of lattice displacements5 Nonlinearity development in crystals: Korteweg-deVries’ equation for collective order variables and the complex potential6 Soliton mobility in time-temperature conversion for thermal processes: Riccati’s theorem7 Toda’s lattice of correlation potentials8 Scattering dynamics in the soliton lattice9 Pseudopotentials and sine-Gordon equation: topological correlations in domain structure10 Trigonal structural transitions: domain stability in topological order11 Soliton theory of superconducting transitions12 Irreducible thermodynamics of superconducting phase transitions

About the Author :
Minoru Fujimoto is a retired professor from the University of Guelph, Canada, where he conducted research in the field of magnetic resonance studies on structural phase transitions in crystals which has currently been extended to theoretical work with soliton dynamics especially as applied to crystalline condensed matter systems. He is the author of numerous papers and several books including Physics of Classical Electromagnetism and Thermodynamics of Crystalline States (Springer); Introduction to Mathematical Physics of Nonlinear Waves and Solitons in Crystalline Processes (IOP Publishing). He lives in Mississauga, Ontario.


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Product Details
  • ISBN-13: 9780750337571
  • Publisher: Institute of Physics Publishing
  • Publisher Imprint: Institute of Physics Publishing
  • Edition: Revised edition
  • Language: English
  • Series Title: IOP ebooks
  • Weight: 534 gr
  • ISBN-10: 0750337575
  • Publisher Date: 07 Oct 2021
  • Binding: Hardback
  • Height: 254 mm
  • No of Pages: 180
  • Spine Width: 11 mm
  • Width: 178 mm


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