Nonlinear Partial Differential Equations for Scientists and Engineers

• Κύριος συγγραφέας: Debnath, Lokenath (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Boston : Birkhäuser Boston, 2012.
• Έκδοση: Third Edition.
• Θέματα: Mathematics.; Partial differential equations.; Applied mathematics.; Engineering mathematics.; Physics.; Continuum physics.; Partial Differential Equations.; Applications of Mathematics.; Theoretical, Mathematical and Computational Physics.; Mathematical Methods in Physics.; Classical Continuum Physics.; Appl.Mathematics/Computational Methods of Engineering.

An exceptionally complete overview of the latest developments in the field of PDEs. 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. —Applied Mechanics Review (Review of First Edition) Overall,...

Πίνακας περιεχομένων:

• 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.