Böcker av Nail H (Blekinge Inst Technology Ibragimov

A monograph dealing with the applications of the Lie group analysis to the modeling equations governing internal wave propagation in the deep ocean. It presents a fresh approach to describe the nonlinear interactions of internal waves in the ocean. It investigates oceanic internal waves through the prism of Lie group analysis.

This book is based on the extensive experience of teaching for mathematics, physics and engineering students in Russia, USA, South Africa and Sweden. The author provides students and teachers with an easy to follow textbook spanning a variety of topics. The methods of local Lie groups discussed in the book provide universal and effective method for solving nonlinear differential equations analytically. Introduction to approximate transformation groups also contained in the book helps to develop skills in constructing approximate solutions for differential equations with a small parameter.

Contains the traditional methods of ordinary and partial differential equations with Lie group analysis by the author's own theoretical developments. This book presents the mathematical curricula based on symmetry and invariance principles. It develops analytical skills in classical and Lie's methods for solving linear and nonlinear equations.