Nonlinear Dispersive Waves and Whitham’s Equations

  title={Nonlinear Dispersive Waves and Whitham’s Equations},
  author={L. Debnath},
Historically, the study of nonlinear dispersive waves started with the pioneering work of Stokes in (Trans. Camb. Philos. Soc. 8:197–229, 1847) on water waves. Stokes first proved the existence of periodic wavetrains which are possible in nonlinear dispersive wave systems. He also determined that the dispersion relation on the amplitude produces significant qualitative changes in the behavior of nonlinear waves. It also introduces many new phenomena in the theory of dispersive waves, not merely… Expand