Model Equations and Methods of Finding Their Exact Solutions

Abstract

The first part of this book has a very general character. It is devoted to nonlinear waves and wave structures (such as shock fronts, solitary waves, cellular multidimensional structures and some others) considered from the position of the general nonlinear wave theory. This approach is especially important for familiarization with the material of a big area of nonlinear physics — the theory of propagation of nondispersive and weakly dispersive waves, and also related to it fields of science united by similar mathematical models and methods of their analysis. Hence Part I may be used for educational purposes.