Solitary Waves In Compressible Media

Solitary waves in compressible media of finite depth and infinite depth are studied. The critical speeds are first obtained from the linearized equations and then confirmed by the results of the nonlinear theory. Explicit expressions for the solitary waves are established by a perturbation scheme applied to the nonlinear equations. The case of a polytropic compressible medium of finite depth at rest in the state of equilibrium is studied. Solitary waves in compressible medium of infinite depth are investigated. The former concerns two isothermal layers at rest in the state of equilibrium separated by a contact surface; the latter, an isothermal layer with non-uniform velocity distribution at equilibrium. It is found that solitary waves vanish at certain values of characteristic parameters introduced in each case, and especially no solitary wave solution exists for an isothermal layer of infinite depth. (Author).

Excerpt from Solitary Waves in Compressible Media He used the vertical distance at equilibrium as one of the independent variables in place of the stream function. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Since the first description by John Scott Russel in 1834, the solitary wave phenomenon has attracted considerable interests from scientists. The most interesting discovery since then has been the ability to integrate most of the nonlinear wave equations which govern solitary waves, from the Korteweg-de Vries equation to the nonlinear Schrodinger equation, in the 1960's. From that moment, a huge amount of theoretical works can be found on solitary waves. Due to the fact that many physical phenomena can be described by a soliton model, applications have followed each other, in telecommunications

Vol. for 1961 includes the proceedings of the 7th Midwestern Conference on Fluid Mechanics and the proceedings of the 5th Midwestern Conference on Solid Mechanics, both previously published seperately.

This book contains written versions of the presentations made at the 4th International Workshop on the Identification of Dark Matter (IDM 2002), held in York, UK, in September 2002. The objective of this workshop series is to assess the status of work attempting to identify what constitutes dark matter OCo in particular, to consider the techniques being used, how successful they are, and what new techniques are likely to improve prospects for identifying likely dark matter candidates in the future. At IDM 2002 special emphasis was placed on recent results obtained in searches for baryonic and non-baryonic dark matter. The proceedings include reviews of major topics on dark matter, as well as short contributed talks."