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Hyperbolic systems and waves
The reductive perturbation method
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amplitude analysis approximation asymptotic boundary Boussinesq Boussinesq equation characteristic characteristic field coefficients components condition consider const constant continuum coordinates corresponding coupling deformation derivative described differential discontinuous dispersion relation displacement dissipative dynamics effects eigenvalues eigenvectors electroelastic energy Engelbrecht envelope exact solutions ferroelectric field function Fusco harmonic higher order hyperbolic system inhomogeneous initial integrable interactions isotropic KdV equation lattice linear longitudinal Love waves material mathematical models matrix Maugin mechanics method microstructure mode Nonlinear Acoustics nonlinear elastic Nonlinear surface nonlinear wave nonlinear wave propagation numerical obtained one-dimensional order wave parameter perturbation phase Phys physical piezoelectric Pouget problem quasilinear Rayleigh waves reduced respect Riemann satisfy scale Section shock simple wave solitary wave solitons speed strain structure surface acoustic waves surface waves system of equations tensor theory transformation transverse variables vector velocity wave momentum Wave Motion wave number wave propagation waveforms waves in solids