By Vasily Y. Belashov,Sergey V. Vladimirov

This booklet is dedicated to at least one of the main fascinating and speedily constructing parts of contemporary nonlinear physics and arithmetic - the theoretical, analytical and complex numerical research of the constitution and
dynamics of one-dimensional in addition to - and three-d solitons and nonlinear waves defined via Korteweg-de Vries (KdV), Kadomtsev-Petviashvili (KP), nonlinear Schrödinger (NLS) and by-product NLS (DNLS) periods of
equations. specified recognition is paid to generalizations (relevant to numerous advanced actual media) of those equations, accounting for higher-order dispersion corrections, impression of dissipation, instabilities, and
stochastic fluctuations of the wave fields. The booklet addresses researchers operating within the concept and numerical simulations of dispersive advanced media in such fields as hydrodynamics, plasma physics, and aerodynamics. It will
even be necessary as a reference paintings for graduate scholars in physics and mathematics.

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