
Solitons, Nonlinear Evolution Equations and Inverse Scattering
Mark J. Ablowitz, M. A. Ablowitz, Peter A. Clarkson
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The field of nonlinear dispersive waves has developed enormously since the work of Stokes, Boussinesq and Korteweg-de Vries (KdV) in the nineteenth century. In the 1960s, researchers developed effective asymptotic methods for deriving nonlinear wave equations, such as the KdV equation, governing a broad class of physical phenomena that admit special solutions including those commonly known as solitons.
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