Nonlinear Dispersive Waves: Asymptotic Analysis and Solitons

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Traveltime delay and initial phase reversal of distant tsunamis coupled with the self‐gravitating elastic Earth (2014, methodology): “The dispersed waveform of the wave packet can be computed by the Fourier transform method [e.g., Ablowitz, 2011].”
Inverse scattering transform for the nonlocal nonlinear Schrödinger equation with nonzero boundary conditions (2016, background): “It describes the evolution of weakly nonlinear and quasi-monochromatic wave trains in media with cubic nonlinearities [7].”