Fujimoto M. Introduction to the Math Physics...Waves 2ed 2021 torrent

Textbook in PDF format

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.
Nonlinearity and elliptic functions in classical mechanics
Wave propagation, singularities, and boundary conditions
Order variables for structural phase transitions
Soft modes of lattice displacements
Nonlinearity development in crystals: Korteweg–deVries' equation for collective order variables and the complex potential
Soliton mobility in time–temperature conversion for thermal processes: Riccati's theorem
Toda’s lattice of correlation potentials
Scattering theory of the soliton lattice
Pseudopotentials and sine-Gordon equation: topological correlations in domain structure
Trigonal structural transitions: domain stability in topological order
Soliton theory of superconducting transitions
Irreducible thermodynamics of superconducting phase transitions