This book is devoted to one of the most interesting and rapidly developing areas of modern
nonlinear physics and mathematics - the theoretical analytical and advanced numerical study
of the structure and dynamics of one-dimensional as well as two- and three-dimensional solitons
and nonlinear waves described by Korteweg-de Vries (KdV) Kadomtsev-Petviashvili (KP)
nonlinear Schrödinger (NLS) and derivative NLS (DNLS) classes of equations. Special attention
is paid to generalizations (relevant to various complex physical media) of these equations
accounting for higher-order dispersion corrections influence of dissipation instabilities
and stochastic fluctuations of the wave fields. The book addresses researchers working in the
theory and numerical simulations of dispersive complex media in such fields as hydrodynamics
plasma physics and aerodynamics. It will also be useful as a reference work for graduate
students in physics and mathematics.
