Solitons and the Inverse Scattering Transform

A study of the inverse scattering transform and its application to problems of nonlinear dispersive waves that arise in fluid dynamics, plasma physics, nonlinear optics, particle physics, crystal lattice theory, nonlinear circuit theory and other areas. Problems that admit soliton solutions are in the form of evolution equations that describe how some variable or set of variables evolve in time from a given state. What is surprising is that, although these problems are nonlinear, the general solution that evolves from almost arbitrary initial data may be obtained without approximation.Ablowitz, Mark J. is the author of 'Solitons and the Inverse Scattering Transform' with ISBN 9780898714777 and ISBN 089871477X.