Nonlinear partial differential equations for scientists and engineers

The revised and enlarged third edition of this successful book presents a comprehensive and systematic treatment of linear and nonlinear partial differential equations and their varied and updated applications. In an effort to make the book more useful for a diverse readership, updated modern examples of applications are chosen from areas of fluid dynamics, gas dynamics, plasma physics,nonlinear dynamics, quantum mechanics, nonlinear optics, acoustics, and wave propagation. Nonlinear Partial Differential Equations for Scientists and Engineers, Third Edition, improves on an already highly complete and accessible resource for graduate students and professionals in mathematics, physics, science, and engineering. It may be used to great effect as a course textbook, research reference, or self-study guide. Extraordinary breadth of coverage. Highly systematic presentation. Hundreds of examples and exercises, with hints, selected solutions, and a complete solutions manual for instructors . Useful for students and researchers alike in not only mathematics, but also engineering, physics, and other natural sciences. INDICE: Preface to the Third Edition. Preface. Linear Partial DifferentialEquations. 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.

• ISBN: 978-0-8176-8264-4
• Editorial: Birkhäuser Boston
• Encuadernacion: Cartoné
• Páginas: 894
• Fecha Publicación: 28/11/2011
• Nº Volúmenes: 1
• Idioma: Inglés