Linear and Nonlinear WavesNow in an accessible paperback edition, this classic work is just as relevant as when it first appeared in 1974, due to the increased use of nonlinear waves. It covers the behavior of waves in two parts, with the first part addressing hyperbolic waves and the second addressing dispersive waves. The mathematical principles are presented along with examples of specific cases in communications and specific physical fields, including flood waves in rivers, waves in glaciers, traffic flow, sonic booms, blast waves, and ocean waves from storms. |
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amplitude approximation argument asymptotic axis behavior boundary conditions c₁ c₂ Chapter characteristic equations characteristic velocities coefficients constant corresponding curve density derivatives determined differential equations dimensional discontinuity discussion dispersion relation dispersive waves disturbance effects eikonal equation energy example expansion expression finite flow fluid formulation Fourier function gas dynamics geometrical geometrical optics given group velocity heat equation Hence higher order hyperbolic initial value initial value problem integral interaction Klein-Gordon equation Korteweg-deVries equation linear theory Mach modulation nonlinear nonlinear optics nonuniform normal obtained P₁ parameter perturbation phase plane propagation quantities region satisfy Section shock conditions shock-shock shown in Fig simple wave Sine-Gordon equation solitary waves speed surface tion transformation value problem variables variational principle vector water waves wave equation wave number wavefront wavetrain zero дх