Exact solutions and invariant subspaces of nonlinear partial differential equations in mechanics and physics /

Providing exact solutions of more than 100 nonlinear equations and models, this book begins with classical as well as more recent examples of interesting solutions on linear invariant subspaces for nonlinear operators. In the remainder of the book, the authors develop several techniques for construc...

Full description

Bibliographic Details
Main Author: Galaktionov, Victor A.
Corporate Author: Taylor & Francis
Other Authors: Svirshchevskii, Sergey R.
Format: eBook
Language:English
Published: Boca Raton : Chapman & Hall/CRC, ©2007.
Series:Chapman & Hall/CRC applied mathematics and nonlinear science series.
Subjects:
Online Access:Connect to the full text of this electronic book
Description
Summary:Providing exact solutions of more than 100 nonlinear equations and models, this book begins with classical as well as more recent examples of interesting solutions on linear invariant subspaces for nonlinear operators. In the remainder of the book, the authors develop several techniques for constructing exact solutions of various nonlinear PDEs, including gas dynamics models, free-boundary problems, Green-Naghdi equations, and quasilinear pseudo-parabolic (magma) equations. Using exact solutions, they describe the evolution properties related to singularity blow-up or extinction phenomena, fin.
Physical Description:1 online resource (xxx, 498 pages) : illustrations
Bibliography:Includes bibliographical references (pages 467-492) and index.
ISBN:1420011626
9781420011623