Nonlinear Partial Differential Equations for Scientists and Engineers (eBook)

Lokenath Debnath (Autor)

eBook Download: PDF

2010 | 2nd ed. 2005
XXII, 738 Seiten
Birkhäuser Boston (Verlag)
978-0-8176-4418-5 (ISBN)

Infos

"An exceptionally complete overview. There are numerous examples and the emphasis is on applications to almost all areas of science and engineering. There is truly something for everyone here. This reviewer feels that it is a very hard act to follow, and recommends it strongly. [This book] is a jewel." ---Applied Mechanics Review (Review of First Edition) 
This expanded and revised second edition is a comprehensive and systematic treatment of linear and nonlinear partial differential equations and their varied applications. Building upon the successful material of the first book, this edition contains updated modern examples and applications from areas of fluid dynamics, gas dynamics, plasma physics, nonlinear dynamics, quantum mechanics, nonlinear optics, acoustics, and wave propagation. Methods and properties of solutions are presented, along with their physical significance, making the book more useful for a diverse readership.
Nonlinear Partial Differential Equations for Scientists and Engineers, Second Edition is an exceptionally complete and accessible text/reference for graduate students, researchers, and professionals in mathematics, physics, and engineering. It may be used in graduate-level courses, as a self-study resource, or as a research reference.

Inhalt

Preface to the Second Edition
Preface to the First Edition
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

Produkt-Details

• Erscheint lt. Verlag: 20.2.2010
• Verlagsort: Boston
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Technik
• Schlagworte: Applied mathematics • differential equation • Differential Equations • engineers • ksa • Mechanics • Model • Nonlinear Dynamics • partial differential equation • quantum mechanics • Schrödinger equation • Scientist • Soliton
• ISBN-10: 0-8176-4418-0 / 0817644180
• ISBN-13: 978-0-8176-4418-5 / 9780817644185