Nonlinear partial differential equations for scientists and engineers

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,...

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Bibliographische Detailangaben
1. Verfasser: Debnath, Lokenath, 1935-
Format: Livre numérique
Sprache:Anglais
Veröffentlicht: Boston : Birkhäuser Boston 2012.
Cham : Springer Nature
Schlagworte:
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Anmerkung: Numérisation de la 3ème édition
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Edition sous un autre format:• Nonlinear partial differential equations for scientists and engineers, Lokenath Debnath, 3rd edition, New York, Birkhäuser, 2012, 1 vol. (XXIII-860 p.), 978-0-8176-8264-4
Inhaltsangabe:
  • 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