Nonlinear Partial Differential Equations for Scientists and Engineers

By Lokenath Debnath

Book Overview

Preface to the Third Edition.- Preface.- Linear Partial Differential Equations.- Nonlinear Model Equations and Variational Principles.- First-Order, Quasi-Linear Equations and Method of Characteristics.- First-Order Nonlinear Equations and Their Applications.- Conservation Laws and Shock Waves.- Kinematic Waves and Real-World Nonlinear Problems.- Nonlinear Dispersive Waves and Whitham's Equations.- Nonlinear Diffusion-Reaction Phenomena.- Solitons and the Inverse Scattering Transform.- The Nonlinear Schroedinger Equation and Solitary Waves.- Nonlinear Klein--Gordon and Sine-Gordon Equations.- Asymptotic Methods and Nonlinear Evolution Equations.- Tables of Integral Transforms.- Answers and Hints to Selected Exercises.- Bibliography.- Index.

• Format: Hardcover
• Language: English
• ISBN: 0817682643
• ISBN13: 9780817682644
• Release Date: October 2011
• Publisher: Birkhauser
• Length: 860 Pages
• Weight: 3.10 lbs.
• Dimensions: 1.8" x 6.1" x 9.2"