ABSTRACT

Nonlinearity plays a major role in the understanding of most physical, chemical, biological, and engineering sciences.
Nonlinear problems fascinate scientists and engineers, but often elude exact treatment. However elusive they may be, the solutions do exist-if only one perseveres in seeking them out.

Self-Similarity and Beyond presents

chapter Chapter 1|4 pages

Introduction

chapter Chapter 2|46 pages

First-Order Partial Differential Equations

chapter Chapter 3|75 pages

Exact Similarity Solutions of Nonlinear PDEs

chapter Chapter 4|47 pages

Exact Travelling Wave Solutions

chapter Chapter 5|37 pages

Exact Linearisation of Nonlinear PDEs

chapter Chapter 6|44 pages

Nonlinearisation and Embedding of Special Solutions

chapter Chapter 7|27 pages

Asymptotic Solutions by Balancing Arguments

chapter Chapter 8|20 pages

Series Solutions of Nonlinear PDEs